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A S T R O N O M Y
An axisymmetric shock breakout indicated by prompt
polarized emission from the type II supernova 2024ggi
Yi Yang1
*, Xudong Wen1,2
, Lifan Wang3,4
*, Dietrich Baade5
, J. Craig Wheeler6
,
Alexei V. Filippenko7,8
, Avishay Gal-­
Yam9
, Justyn Maund10
, Steve Schulze11
, Xiaofeng Wang1
*,
Chris Ashall12,13
, Mattia Bulla14,15,16
, Aleksandar Cikota17
, He Gao2,18
, Peter Hoeflich19
, Gaici Li1
,
Divya Mishra3,4
, Ferdinando Patat5
, Kishore C. Patra7,20
, Sergiy S. Vasylyev7
, Shengyu Yan1
The death of massive stars is triggered by an infall-­induced bounce shock that disrupts the star. How such a shock
is launched and propagates through the star is a decade-­long puzzle. Some models assume that the shock can be
reenergized by absorbing neutrinos, leading to highly aspherical explosions. Other models involve jet-­
powered
shocks that lead to bipolar explosions reflected in the geometry of the shock-­
breakout emission. We report mea-
surement of the geometry of the shock breakout through unprecedentedly early spectropolarimetry of the near-
by type II supernova 2024ggi starting ~1.2 days after the explosion. The measurement indicates a well-­
defined
symmetry axis of the shock breakout, which is also shared by the hydrogen-­
rich envelope that emerged after the
circumstellar matter was engulfed by the ejecta, revealing a persisting and prominent symmetry axis throughout
the explosion. These findings suggest that the physical mechanism driving the explosion of massive stars mani-
fests a well-­
defined axial symmetry and acts on large scales.
INTRODUCTION
“Since the beginning of physics, symmetry considerations have pro-
vided us with an extremely powerful and useful tool in our effort to
understand nature (1).” The geometry of a supernova (SN) explo-
sion, which has been found aspherical, provides fundamental infor-
mation on stellar evolution and the physical processes leading to
these cosmic fireworks (2). Iron-­
core collapses of massive stars in
the mass range of 8 to 20 solar masses (3, 4) are the dominant stellar
explosions in the nearby universe (5).
Neutrino-­
driven models of core-­
collapse supernovae (CCSNe) have
only become successful in recent years thanks to three-­
dimensional
(3D) simulations. In particular, the rebounce shockwave may stall to
accretion toward certain directions, while the accretion of in-­
falling
matter onto the proto neutron star and neutrino energy deposition
is continuous in other directions. Such a neutrino-­
driven explosion
would result in a break of spherical symmetry (6–8). Nevertheless,
explaining the details about the generation of the shock waves dur-
ing the collapse of the stellar core and the energy transportation via
a burst of neutrinos to produce an explosion remains a challenge.
Alternative models include the deposition of energy in the stellar
envelope through mechanisms such as magnetorotational processes
during the formation of the protoneutron star. This process, in which
the progenitor iron core exhibits a short rotation period of ≲10 s
(9, 10), may launch moderately relativistic jets into the outer core
and the stellar envelope (11–16). Engines driving core-­
collapse ex-
plosions may follow well-­defined global asphericities of the progeni-
tor systems as hinted at by the observational evidence of SN remnants
(17, 18) and pulsar kicks (19–23). Bipolar/jet-­
driven models com-
patible with these observations have been proposed (12, 13, 24–26).
Explosion models adopting pure neutrino heating within the spher-
ically symmetric scheme (27–29) or driven by small-­
scale insta-
bilities (30), on the other hand, are expected to be amorphous or
exhibit no symmetry axis. Recent 3D radiation-­
hydrodynamic sim-
ulations also illustrate that microscopic neutrino physics details in
the early seconds can determine the large-­
scale ejecta structure that
is preserved for days (31). Modeling of the blueward color evolution
of SN 2023ixf, recorded within a few hours after the first light, infers
an inhomogeneous emergence of the shock from the exploding star
enshrouded by circumstellar matter (CSM) that started from where
the opacity yields the smallest (32). The critical link between the
shock breakout and the explosion mechanism that drives the expan-
sion of the ejecta may be facilitated by comparing their geometries.
Whether the former lines up with that of the SN ejecta and any ex-
plosion fingerprints left toward the core-­
collapse center would thus
provide a powerful probe of the explosion physics.
Extremely early spectropolarimetry, taken within about 1 day af-
ter shock breakout, offers a unique opportunity to observe how the
shock emerges on the surface of the exploding star and interacts
with any surrounding CSM as evidenced by short-­lived photoionized
1
Department of Physics, Tsinghua University, QinghuaYuan, Beijing 100084, China.
2
School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China.
3
Department of Physics and Astronomy,Texas A&M University, 4242TAMU, College
Station, TX 77843, USA. 4
George P. and Cynthia Woods Mitchell Institute for Funda-
mental Physics and Astronomy, Texas A&M University, 4242 TAMU, College Station,
TX 77843, USA. 5
European Organisation for Astronomical Research in the Southern
Hemisphere (ESO), Karl-­
Schwarzschild-­
Str. 2, 85748 Garching b. München, Germany.
6
University of Texas at Austin, 1 University Station C1400, Austin, TX 78712-­
0259,
USA. 7
Department of Astronomy, University of California, Berkeley, CA 94720-­3411,
USA. 8
Hagler Institute for Advanced Study, Texas A&M University, 3572 TAMU, Col-
lege Station, TX 77843, USA. 9
Department of Particle Physics and Astrophysics,
Weizmann Institute of Science, Rehovot, Israel. 10
Department of Physics, Royal
Holloway, University of London, Egham Hill, Egham, TW20 0EX, UK. 11
Center for
Interdisciplinary Exploration and Research in Astrophysics (CIERA), Northwestern
University, 1800 Sherman Ave, Evanston, IL 60201, USA. 12
Department of Physics,
Virginia Tech, 850 West Campus Drive, Blacksburg, VA 24061, USA. 13
Institute for
Astronomy, University of Hawai’i at Manoa, 2680 Woodlawn Dr., Hawaiʻi, HI 96822,
USA. 14
Department of Physics and Earth Science, University of Ferrara, via Saragat
1, I-­
44122 Ferrara, Italy. 15
INFN, Sezione di Ferrara, via Saragat 1, I-­
44122 Ferrara,
Italy. 16
INAF, Osservatorio Astronomico d’Abruzzo, via Mentore Maggini snc, 64100
Teramo, Italy. 17
Gemini Observatory/NSF’s NOIRLab, Casilla 603, La Serena, Chile.
18
Institute for Frontier in Astronomy and Astrophysics, Beijing Normal University,
Beijing 102206, China. 19
Department of Physics, Florida State University,Tallahassee, FL
32306, USA. 20
Department of Astronomy and Astrophysics, University of California,
Santa Cruz, CA 95064, USA.
*Corresponding author. Email: yi_yang@​mail.​tsinghua.​edu.​cn (Y.Y.); lifan@​tamu.​
edu (L.W.); wang_xf@​mail.​tsinghua.​edu.​cn (X.W.)
Copyright © 2025 The
Authors, some rights
reserved; exclusive
licensee American
Association for the
Advancement of
Science. No claim to
original U.S.
Government Works.
Distributed under a
Creative Commons
Attribution License 4.0
(CC BY).
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(“flash ionization”) spectral features (33–39). Because of the large
distances of extragalactic supernovae (SNe), the regions concerned
remain angularly unresolved, compressed to the radial velocity and
time axes. Critical information about the 3D structure of the ejec-
ta and their interaction with CSM is encoded in polarization spectra.
Continuum polarization measures the deviations of the photosphere
from spherical symmetry. Line polarization traces the distribu-
tion of elements in the SN ejecta projected onto the plane of
the sky (2). Modulation of the polarization degree and position
angle (PA) across a spectral feature probe the strength of departure
from spherical symmetry and its orientation, respectively, deliver-
ing a low-­
resolution 3D map of the corresponding line-­
forming
region (2, 40, 41). The acquisition of such a dataset close in time to
shock breakout only became feasible recently thanks to the transient-­
alert stream produced by sub-­
day-­
cadence wide-­
field sky surveys,
combined with rapid spectropolarimetric follow-­
up observations.
RESULTS
Spectropolarimetry of Supernova 2024ggi
SN 2024ggi was discovered as a transient with rapid intranight rise
(42) in the spiral galaxy NGC 3621 at a distance of 7.24 ± 0.20mega-
parsec (Mpc) (43) and was quickly classified as a young type II
SN (44). The transient alert stream was produced by the “Asteroid
Terrestrial-­
impact Last Alert System” (45). The proximity of SN
2024ggi provides a rare opportunity to investigate the pre-­
to-­
post-­
explosion properties of this CCSN in great detail. We initiated a
spectropolarimetric time sequence of SN 2024ggi (see Table 1),
starting at UTC 05:57 on 2024-­
04-­
12 (MJD 60412.248) following
the immediate approval of the European Southern Observatory
(ESO) Director’s Discretionary Program [ID 113.27R1; principal in-
vestigator (PI), Y.Y.]. The first epoch was carried out at ∼1.1days after
the discovery on MJD 60411.14 (42), which is an objective obser-
vation, and1.22+0.05
−0.05
days after the estimated time of shock breakout
on MJD 60411.03+0.05
−0.05 (46), which is model dependent. Throughout
this paper, all phases are given relative to the time of the SN discov-
ery. The observing campaign on SN 2024ggi harvested one of the
two earliest spectropolarimetric datasets of any transient, the other
was1.39+0.05
−0.02
days after shock breakout (32) of SN 2023ixf (47). This
rare early dataset enables us to measure the geometry of the shock
breakout (see the “Spectropolarimetry of SN 2024ggi” section),
which took place between days 0.7 and 1.2 as inferred from the ear-
ly evolution of the ionization states of the CSM emission lines (46).
Investigation of the geometry of the continuum and different
spectral features can be facilitated by presenting spectropolarimetry
on the normalized Stokes Q-­U plane (25). A prominent axial sym-
metry of an electron-­
scattering structure leads to a wavelength-­
independent polarization PA of the continuum in the Q-­U plane.
For data points with different wavelengths, their distance from the
origin (polarization degree p) varies owing to different physical
properties across the photosphere (e.g., temperature, density, and
composition), resulting in a range of optical depths and scattering
efficiencies. Together, they form a straight line known as the domi-
nant axis (40, 48).
The polarization over certain spectral ranges can be decomposed
into a component along the dominant axis (Pd) and another one
along the orthogonal axis (Po). The former captures the most dy-
namic range of the data (40). Its slope in the Q-­U plane delivers the
spatial orientation of the axial symmetry. For ejecta with rotational
symmetry, the dominant and orthogonal axes measure the axial
asphericity of the ejecta and the deviations from such a geometry,
respectively. Therefore, for any wavelength range or spectral line of
interest, a clear dominant axis would indicate a prominent axial
symmetry of the associated opacity distribution. On the contrary,
any clumpy, nonaxisymmetric structure will spread along the or-
thogonal axis, making the dominant axis less significant (2).
After removal of the interstellar polarization (ISP) arising from
the foreground interstellar dust (see the “Interstellar polarization”
section), in Fig. 1, we present the temporal evolution of the intrinsic
continuum polarization of SN 2024ggi at eight epochs from days 1.1
to 80.8. In each panel, different symbols mark the inverse 1σ error
weighted mean polarization over the wavelength ranges identified
in the color bar. In the top left and bottom right panels, the black
dashed lines show the dominant axes of the first and last datasets. In
these ISP-­
corrected data, Q = 0 and U = 0 are between the red and
blue wavelengths at day 1.1 and near the blue end of the dominant
axis at day 80.8. The data at intermediate epochs do not show clear
dominant axes. These data are substantially displaced from Q = 0
Table 1. Log of Very Large Telescope spectropolarimetry of SN 2024ggi.
Epoch MJD Phase (day)* Grism Exp time (s)†
Air mass Grism Exp time (s)†
Air mass
1 60412.246 1.1 300V 180 × 4 × 2 1.39 – – –
2 60413.144 2.0 300V 45 × 4 × 2 1.03 1200B 80 × 4 × 2 1.04
NA‡
 60416.078 4.9 300V 90 × 4 × 2 1.02 1200B 240 × 4 × 2 1.01
3 60416.988 5.8 300V 90 × 4 × 2 1.22 1200B 240 × 4 × 2 1.16
4 60418.008 6.9 300V 50 × 4 × 2 1.13 – – –
5 60422.023 10.9 300V 70 × 4 × 2 1.07 1200R 130 × 4 × 2 1.03
6 60430.996 19.9 300V 75 × 4 × 2 1.08 1200R 140 × 4 × 2 1.05
7 60444.164 33.0 300V 40 × 4 × 2 1.41 – – –
8 60491.979 80.8 300V 65 × 4 × 2 1.16 1200R 130 × 4 × 2 1.21
9 60678.246 267.1 300V 480 × 4 × 2 1.26 – – –
*Relative to the estimated time of the shock breakout at MJD 60411.03.   †Observations carried out with two exposures each at four different half-­
wave–
plate angles.  ‡Not applicable (NA) since dataset discarded due to poor seeing (∼4.8��
).
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and U = 0. A marked change of the continuum polarization (from
days 1.1 to 2.0) is followed by a gradual drift until a roughly station-
ary geometry is reached at day 10.9, indicating a large-­
scale trans-
formation of the geometry as the CSM is swept up by the SN ejecta.
Throughout all analyses and figures, the ISP has been subtracted un-
less stated otherwise.
Stage I—The shock-­
breakout phase
At very early epochs, the photosphere of SN 2024ggi was most likely
engulfed in the CSM, as evidenced by several highly photoionized
narrow features superposed on a blue continuum (see the “Polar-
ization across the photoionized features” section) (46, 49–52). The
dynamical timescale is short on day 1, when the photospheric ra-
dius yields ≲ 1.5 × 1014
cm (46) and the ejecta expand rapidly. At
day 1.1, the Q-­U diagram shows a well-­
defined dominant axis with
2PAday1.1 = 132◦
.7+4◦.3
−3◦.7
(Fig. 1), where PA = 0.5 tan−1
(U/Q). The dis-
tribution of the day 1.1 polarization can also be described by an
ellipse, whose semimajor and semiminor axes are defined by the
scatter about the dominant and orthogonal axes, namely, a ≈ 0.12%
and b ≈ 0.09%, respectively (Fig. 2). As supported by the blueward
g-­r color evolution and the continuous rise of the until about day
1.6 (46, 49, 52), spectropolarimetry at day 1.1 measures the emis-
sion of the shock breakout, when photons promptly diffuse out of
the optically thick CSM in certain directions. We note that such a
geometry measurement is only feasible immediately after the onset
of the shock breakout, during a brief moment when the shock has
promptly emerged from the surface of the progenitor in some direc-
tions, while the remaining part of the shock is still embedded in the
optically thick atmosphere or CSM. Therefore, the first epochs of
spectropolarimetry of SN 2023ixf did not infer the shock breakout
geometry (47, 53–55), as the spread of the shock front to cover the
entire surface of the SN 2023ixf progenitor persisted only for the
first few hours (32).
We remark that the wavelength-­
dependent polarization on day
1.1 closely resembles the ISP as described by the empirical Serkowski
law (56). Our attempts to characterize such a time-­
invariant redis-
tribution of the data points on the Q-­U plane imply that the day
1.1 polarization wavelength dependence is intrinsic to the SN
(see the “Interstellar polarization” section). Instead, a wavelength-­
dependent photosphere would be expected for a spherically asym-
metric shock breakout. The total observed intensity is a summation
of various emitting components, each having an intensity of Ij(λ) at
a given wavelength λ. The net polarization is thus the total polarized
flux normalized by the total flux, i.e.,
Therefore, even if the polarization of each emission component
with a characteristic blackbody temperature is wavelength indepen-
dent, the net polarization can still be wavelength dependent.
Additional information on the geometry can be deduced from
the polarization across spectral lines, which is especially sensitive to
the geometric distribution of chemical species involved rather than the
global shape represented by the photosphere and the continuum
polarization. For a geometric structure with rotational symmetry,
the Q-­U diagram representing the wavelength bins within a spectral
line reflects the geometry of the atomic species producing the line.
p(λ) =
∑
j
Ij(λ)pj(λ)∕
∑
j
Ij(λ) (1)
Fig. 1. Temporal evolution of the polarization of SN 2024ggi after subtracting the ISP. In the top left and bottom right panels, the black dashed line shows the
dominant axis determined from linear fits to the small data points (the PAs and uncertainties are labeled), which cover the wavelength range of 3800 to 7800 Å. The ori-
entation of the dominant axis in degrees with uncertainties is indicated in the subpanels for days 1.1 and 80.8. A dashed ellipsoidal contour, whose major and minor axes
respectively represent the 1σ dispersion about the dominant and orthogonal axis, is also presented. In each panel, different symbols mark the error-­
weighted mean po-
larization calculated over the wavelength ranges identified in the color bar. A marked change of the continuum polarization (from days 1.1 to 2.0) is followed by a gradu-
al drift until a roughly stationary geometry is reached at day 10.9. This behavior is accompanied by a clockwise rotation of the distribution of the data points, revealing a
large-­
scale transformation of the geometry as the CSM is swept up by the SN ejecta. Light gray lines in the top left and bottom right panels present the dominant axes
fitted to the data through a Monte Carlo resampling approach using the errors in Q and U measured at each wavelength bin.
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The emitting regions at the earliest epoch most closely trace the ion-
ization front of the shock propagating in the CSM, as indicated by
the common dominant axis determined from the continuum and
from the spectral features with the highest ionization potentials.
Because electron-­
scattering emission wings are sensitive to small-­
scale structure such as lumpiness in the scattering CSM, we focus on
the emission cores of lines on day 1.1 of SN 2024ggi. The line cores
are less affected by electron scattering than the line wings. The po-
larization of the line cores as displayed in the Stokes Q-­U plane should
more closely trace the geometry of the shock-­
breakout ionization
front with the least influence from other effects. As illustrated in Fig. 3
(top right), all photoionized spectral features line up with the domi-
nant axis on day 1.1. The only exception is Hα; the excitation energy
of Hα (χ = 13.6 eV) is the lowest among all lines identified in the
earliest flux spectrum and can thus be emitted over a wide range of
angles with respect to the direction of the shock breakout so that any
geometrical information is strongly diluted. By contrast, the highest
excitation state, O V (χ = 113.9 eV), exhibits a clear dominant axis
across the O V λ5597 feature similarly to the continuum (fig. S16).
This observational signature can be understood as the associat-
ed high ionization potential required by the highly ionized spe-
cies to be realized close to the shock front, where the highest
temperature produces the highest excitation states. The fact that the
high-­
ionization lines (e.g., C IV λλ5801, 5812, N IV λλ7109, 7123,
and O V λ5597) in the spectra of SN 2024ggi emerged after day 1.1,
rather than before day 0.7 (46), is compatible with an early increase
in photospheric temperature (49, 52, 57). This suggests a shock
breakout within the CSM where a progressively hotter and stronger
radiation field is emitted, in contrast to a shock-­
cooling process
(52, 57–59). Accordingly, the polarization of the continuum on day
1.1 traces the geometry of the emitting zone, where the shock break-
out promptly leaks into the CSM. The line photons with the highest
excitation potential on day 1.1 are formed close to the ionization
front produced by the shock; thus, their polarization traces the pre-­
shocked CSM over the line-­
forming regions.
Stage II—The ejecta-­
CSM interaction
From days 1.1 to 2.0, a clockwise rotation by 2PA ≈ 59◦
is seen
among the data clouds in the Stokes Q-­U plane, which represents
the continuum polarization of more than 3800 to 7800 Å. The ro-
tation continued at a slower rate after day 2.0 until the degree of
continuum polarization settled at a roughly stationary level be-
tween days 10.9 and 33.0 (Fig. 1). Such temporal evolution does
not necessarily imply a rotation of the symmetry axis in space,
but it can be due to a change in the relative contributions of dif-
ferent structures to the total signal. Figure 2 summarizes the tem-
poral evolution of the continuum polarization by resampling
the observations at each epoch into very broad 800-­
Å wavelength
bins. The green dashed line in Fig. 2 (left) shows the dominant axis
as defined by the data on day 1.1. It represents the geometric axis
Fig. 2. Temporal evolution of the continuum polarization of SN 2024ggi displayed in the Q-­U plane. (Left) The blue-­
, green-­
, and pink-­
shaded areas mark the three
stages of the SN 2024ggi polarimetry. Different symbols represent the continuum polarization of SN 2024ggi at different epochs. The thin green dashed line shows the
dominant axis at day 1.1 for comparison. The blue dashed line approximately follows the stage II locus (days 2.0 to 6.9), when the interaction between the ejecta and CSM
led to a change in overall geometry.The black arrow represents the PA of the continuum polarization of stage III, which was estimated by the error-­weighted mean of days
10.9, 19.9, and 33.0. The size of each contour is determined by the standard deviation of the polarization measured at the encircled epoch(s). (Right) The top, middle, and
bottom right panels show the scaled flux-­
density spectra (Fλ) at days 1.1 (stage I), 2.0 (stage II), and 10.9 (stage III), respectively, with major photoionized lines from sev-
eral species labeled at velocity v in the rest frame. The region of the dark-­
gray–shaded band at day 1.1 suffers from detector saturation. Observations at day 80.8 are not
presented as the polarization is affected by strong outward mixing of the inner He-­
rich layer and nickel clumps.
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of the photosphere at the earliest epoch, which is mostly within
the CSM layer ionized by the shock-­
breakout flash. From days 2.0
to 6.9, the photosphere recedes into a deeper layer of the CSM
where the emission produced by the expanding ejecta interacting
with the CSM becomes progressively dominant. The time-­
evolving
continuum polarization during stages I and II as displayed in Fig. 2
clearly reveals a misalignment between the shock breakout and the
later ejecta-­
CSM interaction processes (see the “Modeling the polar-
ization for an expanding envelope” and “The misaligned symmetry
axes of the shock breakout and the ejecta-­
CSM interaction” sections).
The dominant axis can no longer be identified during stage II as
seen in individual epochs compared to that on day 1.1 (Fig. 1). The
temporal evolution of the continuum polarization measurements from
days 2.0 to 6.9 follows a different path compared to the axial symmetry
on day 1.1 (the blue dashed line in Fig. 2), demonstrating that the
ejecta-­
CSM interaction process manifests a geometry different from
that inferred during the shock-­
breakout phase:2PACSM = 109◦
.8+10◦
.7
−5◦.2
compared to 2PAday1.1 = 132◦
.7+4◦.3
−3◦.7
, respectively. From days 2.0 to
6.9, lines from ions such as O V, N IV, C IV, and Hβ are much weaker,
and their dominant axes become significantly less prominent.
We sketch out four possible geometric configurations of the
ejecta within the CSM in Fig. 4. The schematic drawing of the CSM
exhibits a density variation that manifests as a moderate density en-
hancement toward a specific orientation, namely, the CSM plane
(i.e., by a factor of≲2; see the “Schematic evolution of the geometry
of the ionization front” section). The schematics represent only the
transition of the emission from stages I to II. On day 1.1, the pho-
tosphere displays an axially symmetric structure with a dominant
axis that agrees with the shape of the shock breakout from the
CSM, eliminating the doubly spherically symmetric case illustrated
by Fig. 4A. The configuration evolves rapidly toward a geometry
dominated by that of the CSM. However, we find that a spherical
shock breakout sculpted by an aspherical CSM (Fig. 4B) and an
aspherical shock breaking out of a spherical CSM (Fig. 4C) would
both imprint a single symmetry axis at all times (see the “Polarization
of the prolate and oblate geometric configurations” section; fig. S17).
Both configurations would manifest as a progressive shrinkage of
the distance between the data cloud and the zero point in the Q-­U
plane until the data sequence flips to the opposite direction (see the
bottom row of fig. S17) instead of displaying the observed gradual ro-
tation (Fig. 1) that draws a loop-­
like trajectory (Fig. 2). Therefore, we
conclude that the symmetry axes of the shock breakout (day 1, green
dashed line in Fig. 2) and the ejecta-­
CSM interaction (days 2 to 7, blue
dashed line in Fig. 2) are misaligned, requiring an aspherical shock
breakout from the progenitor surface as the explanation. We conclude
that Fig. 4D, where the shock breakout and the CSM are both ellipsoi-
dal but misaligned, is a more realistic representation of SN 2024ggi.
Stage III—Dominance of the hydrogen-­
rich envelope
At later epochs (day 10.9 and thereafter), the characteristic P Cygni
profiles of the Balmer lines are fully developed (fig. S20), implying
that the receding photosphere has passed the inner boundary of the
Fig. 3. Polarizations measured in the central ±10 Å of various emission peaks at days 1.1 and 2.0. The emission cores as highlighted by the color-­
shaded spectral
regions in the left subpanels are less affected by the electron-­
scattering emission from the wings (which are sensitive to smaller-­
scale structures such as lumpiness of the
scattering region). Their distribution in the Stokes Q-­U plane as shown in the top right and bottom right panels for days 1.1 and 2.0 (respectively), traces the geometry of
the shock-­
breakout ionization front with the least influence from other effects. In the top right panel, the green dashed line presents the dominant axes determined over
the wavelength range of 3800 to 7800 Å on day 1.1.
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CSM and resides in the hydrogen-­
rich envelope of the exploding
progenitor (see the “Polarization across the photoionized features”
section for the temporal evolution of the spectral features). Polarim-
etry on and after day 10.9, thus, probes the geometry of the H-­
rich
envelope of the outermost SN ejecta. The roughly circular, not elon-
gated distribution of the data points in the Stokes Q-­U plane hinders
the identification of a dominant axis of SN 2024ggi at individual
epochs. The PA of the H-­
rich envelope in stage III estimated from
the error-­
weighted mean of the polarization on days 10.9, 19.9, and
33.0 yields 2PAej = −20◦
.4+32◦
.4
−25◦
.3
, which differs by ∼153◦
from the
symmetry axis inferred for stage I. This change in PA close to a flip
in the direction in the Q-­U plane discloses a similar axial symmetry
in stages I and III, with a geometric prolate-­
to-­
oblate transforma-
tion in between. As an example shown in the “The misaligned sym-
metry axes of the shock breakout and the ejecta-­
CSM Interaction”
section and the top row of fig. S17, a small change of axial symmetry
during stage II would manifest itself as a gradually rotating data
cloud in the Q-­U plane, which qualitatively accounts for the ob-
served evolving continuum polarization of SN 2024ggi. In contrast,
a flip of the dominant axis would imply a geometric transformation
with the same symmetry axis [Fig. 2, the bottom row of fig. S17; see
the “The misaligned symmetry axes of the shock breakout and the
ejecta-­
CSM interaction” section; (60)].
By approximating the electron-­
scattering atmosphere with an el-
lipsoid and aρ(r) ∝ r−12
density distribution (61), the temporal evo-
lution of the continuum polarization suggests moderate asphericity
if viewed within ∼30◦
to 60◦
from the aspect angle of the observer,
i.e., ∼0.8 ≲ A ≲ 0.95 and ∼1.2 ≲ A ≲ 1.4 for the prolate (before day
2.0, fig. S18) and the oblate (days 5.8 to 10.9, fig. S19) configurations,
respectively (see the “Polarization of the prolate and oblate geomet-
ric configurations” section). From days 10.9 to 33.0 (stage III), the
Hα and Hβ lines exhibit PAs of the dominant axes that are roughly
consistent with the orientation of the data cloud and that of the
shock breakout (Fig. 5. The only apparent exception is the Hβ line
on day 33.0; however, it is caused by a blend with the emerging blue-
shifted Fe II λ5018 line (figs. S20 and S11). This tends to confirm
that, except for stage II when the ejecta-­
CSM interaction is promi-
nent, the axial symmetry derived from the continuum persists
throughout the explosion of SN 2024ggi.
The detection of SN 2024ggi also in x-­
rays during the first few
days (62–64) supports the notion that the early shock-­
breakout pro-
cess is modified by a dense and confined CSM. The direct measure-
ment of the shock-­
breakout geometry, which exhibits a spatially
elongated, axially symmetric configuration (figs. S17 and S18), is
also compatible with the blueward color evolution within the first
day (49, 52, 57). The early polarization evolution of SN 2024ggi is
highly complementary to the existence of the CSM and the way the
CSM modifies the shock breakout. The symmetry axis defined by
the shock breakout, which is aligned with that inferred for stage III,
suggests that the core collapse could be driven by a mechanism that
shapes the explosion on large scales. Moreover, the continuum po-
larization of SN 2024ggi shows a conspicuous time evolution but
never exceeded ≲0.4% (A ≲ 1.4; see the “Polarization of the prolate
and oblate geometric configurations” section), which is lower than
the ≲2% and ~1% observed in the early phases of the type IIn SN
1998S (65) and type IIL/IIP SN 2023ixf (47, 53–55). SN 1998S can
be adequately modeled with a pole-­
to-­
equator density ratio of ~5
(66). In summary, the shock-­
breakout phase of SN 2024ggi shows a
well-­
defined symmetry axis. The moderate global asymmetry is
overall consistent with an asymmetry induced by an emitting zone
extended in a particular direction.
DISCUSSION
SN 2024ggi enables measurement of the shock-­
breakout geometry
soon after the explosion. During this brief earliest moment, the ge-
ometry reflects the asymmetry of the explosion itself, as the photons
toward the preferred directions of the explosion diffuse out promptly
(Fig. 4D). SN 2024ggi is also the second of two H-­
rich CCSNe after
SN 2023ixf (32, 67) with spectrophotometric observations carried out
days after shock breakout (32, 67–69), for which significant aspheric-
ity during the shock breakout as well as ejecta engulfing CSM with
large-­
scale asymmetry have been diagnosed (47, 53). This may sug-
gest a general pattern for the shock breakout from dying massive stars.
3D full-­
sphere SN simulations also suggest the development of
large-­
scale asymmetries that manifest themselves as giant plumes of
radioactive matter penetrating deeply into the helium and hydrogen
envelopes (31, 70). In contrast, the standing accretion shock in-
stability (71, 72) and a rather steep density gradient near the de-
generate core will result in small-­
scale asymmetries in the ejecta
(73). The shock breakout that evinces large-­
scale directional
dependencies also indicates that the time at which the shock
emerges on the progenitor surface along the plume-­
mixing or
other directions could differ by ∼+0.7 days. Such a significantly
aspherical explosion is also supported by very recent 3D hydrody-
namic calculations, suggesting that the shock-­
breakout geometry
A B C D
Fig. 4. Illustration of the expanding ejecta and the invariant CSM for different explosion schematics. In each panel, the blue dashed contour displays the location
of the ionization front estimated from the isodiffusion-­time surface (see the“Schematic evolution of the geometry of the ionization front”section) and the solid gray circle/
ellipse represents the outer boundary of the CSM, and the solid black circle/ellipse shows the outer boundary of the SN ejecta embedded in the CSM. The different sche-
matics are (A) spherical ejecta and spherical CSM, (B) spherical ejecta and disk-­
concentrated CSM, (C) aspherical ejecta and spherical CSM, and (D) aspherical ejecta and
disk-­
concentrated CSM. The axisymmetric prompt shock-­
breakout emission during stage I and the time-­
dependent symmetry axis during the transition to stage II sug-
gest (D) as the most plausible scenario.
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could be shaped by neutrino-­driven turbulence developed at the ini-
tial core collapse and preserved during the following few days (31).
Although such a bubble-­
driven explosion is compatible with the
observed large-­
scale asymmetry shared by the shock breakout and
the SN ejecta, additional mechanisms that regulate the explosion to
maintain a well-­
defined axial symmetry may still be needed. The
early axisymmetric configuration of SN 2024ggi may also be com-
patible with a prompt outflow enhanced moderately toward the polar
regions. Core collapses producing a neutron star and involving an
amplified magnetic field through magnetorotational instability may
lift matter along the rotational axis of the collapsing core (74, 75).
This process does not necessarily involve the formation of powerful
jets that penetrate the helium and hydrogen envelopes, as implied
by the moderate level of asphericity observed throughout the shock
breakout and the ejecta expansion phases of SN 2024ggi. Details on
how such a Lorentz-­
force-­
driven mechanism would account for the
prompt axial symmetric emissions of SN 2024ggi require future quan-
titative model calculations.
Additional geometric clues include the spatially resolved axisym-
metric structures consistent with a bipolar outflow in the Crab
Nebula (76) and Cassiopeia A (77, 78) that can be traced into the
explosion zone. The explosion mechanism may be related to col-
lapsar models for long-­
duration gamma-­
ray bursts (79) and even
magnetar models of some superluminous SNe (80, 81).
The misalignment of the axes of the CSM and the ejecta (Fig. 2)
deserves further attention. The mass loss from the progenitor star
may be governed by processes related to the angular momentum of
the progenitor system, either as a single star or a binary companion,
which may naturally produce the misalignment of the explosion and
the CSM symmetry axes. Binary mass transfer during the common-­
envelope phase tends to enrich the CSM toward the orbital plane
(82). Such a disk-­
concentrated CSM content, which is compatible
with the polarization time series of SN 2024ggi, could be ubiquitous
considering ≳80% of massive stars are in multiple systems (83). A
magnetic field, which becomes more toroidal with distance from the
progenitor, can also play a key role in shaping the CSM as inferred
from well-­
structured planetary nebulae (84, 85). Unlike the sym-
metry axis defined by the angular momentum of the system, the
origins of the magnetic fields may be more complex and exhibit axes
that are significantly different from the stellar rotation axis. For in-
stance, the ejecta symmetry axis of SN 1987A is ∼28◦
away from the
CSM symmetry axis (86), and the type IIn SN 1998S displayed con-
spicuously different PAs of the continuum polarization and the po-
larization across the Balmer lines (25, 65). During the core collapse
and the formation of the protoneutron star, the neutrino-­
driven
instabilities or the initiation of jets through magnetorotational in-
stabilities would also follow the structures of the progenitor stars
(87–89), not the CSM. The combination of rotation encapsulated
in the explosion geometry and magnetic fields encapsulated in the
CSM geometry may naturally account for the misaligned axial sym-
metry between the ejecta and CSM.
Spectropolarimetry of SN 2024ggi reveals a moderately aspheri-
cal explosion that shows a well-­
defined symmetry axis shared by
the prompt shock-­breakout emission and the SN ejecta. This vari-
ability illustrates that instead of an amorphous/spherical setup
resulting from small-­
scale instabilities, the core-­
collapse explo-
sion of SN 2024ggi can be driven by a mechanism that shapes the
explosion from the earliest shock breakout throughout the entire
ejecta expansion.
MATERIALS AND METHODS
Interstellar polarization
To investigate the polarization intrinsic to SN 2024ggi, before pro-
ceeding to detailed discussions of the observed polarization, we de-
rive the ISP induced by the dust grains along the SN-­
Earth line of
sight. The ISP estimation was carried out using the earliest (day 1.1)
and the day 80.8 polarization, where a global axially symmetric
photosphere can be inferred from the presence of a prominent dom-
inant axis.
After correction for the ISP, the dominant axis is seen as a straight
line passing through the origin, as expected for an axisymmetric
Fig. 5. Time-­
variant polarization across the Balmer lines of SN 2024ggi. Evolution in the Q-­U plane of H𝛂 from days 10.9 to 33.0 and H𝛃 from days 10.9 to 19.9
are presented in the top and the bottom rows, respectively.The colors encode rest-­frame velocities according to the color bars. In each panel, the magenta dot-­dashed
line fits the polarization distribution measured at different velocities that cover the corresponding spectral feature. The green dashed lines overplot the dominant axis at
day 1.1, which appears to be aligned with that of the H envelope that has progressively emerged after day 6.9.
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configuration (90, 91), and the intersection of the dominant axes on
days 1.1 and 80.8 at QISP = −0.40 ± 0.05% andUISP = 0.54 ± 0.04%
yields the ISP (fig. S1). The ISP is weakly dependent on wavelength,
in particular within the low-­
ISP regime (90). In the coordinate sys-
tem defined by the Stokes Q and U parameters [i.e., the Q-­U plane;
(25)], the effect of the ISP is largely the introduction of uncertain-
ties of the zero point. It is also expected to be time-­
independent
(24) and manifests as an offset in the Stokes Q-­U diagram with-
out affecting the morphological patterns of the data points.
High-­
resolution spectroscopic observations of the Na I D ab-
sorption doublet have led to the conclusion that the line-­
of-­
sight
extinction toward SN 2024ggi can be decomposed into a Galactic
[E(B−V)MW = 0.120 ± 0.028 magnitude (mag)] and a host-­
galaxy
[E(B−V)host = 0.034 mag; (52)] component. Because interstellar
extinction and polarization are both induced by dust grains (56), the
stronger Galactic extinction suggests that the Galactic polarization
is the dominant component of the ISP. In the case of SN 2024ggi, the
exact ISP level is difficult to estimate with the widely used standard
methods [e.g., (92, 93)]. In particular, the absence of resolved cores
of emission profiles dominated by unpolarized photons released by
recombination is a handicap.
Polarization by dust grains in the interstellar matter shifts the
dominant axis away from the origin in the Q-­U plane. For SN ejecta
with a high degree of axial symmetry, the ISP would be located at
one of the ends (or beyond them) of the dominant axis (2, 40, 94). If
the variability of an object causes the dominant axis of the intrinsic
polarization to rotate, then the rotation angle is independent of the
chosen value of the ISP because the latter only introduces a displace-
ment of the data points from the origin. However, careful subtrac-
tion of the ISP is of paramount importance when determining the
shape of an object from its intrinsic polarization.
Another approach to estimate the total line-­
of-­
sight ISP assumes
that the emission peak of the strong P Cygni profiles of the Balmer
lines is unpolarized during the photospheric phase of type II/IIP SNe
(91). We estimate the error-­
weighted mean polarization within a
wavelength range of 6550 to 6750 Å to be Q+33d
ISP
= −0.32 ± 0.04%
and U+33d
ISP
= 0.55 ± 0.08%, consistent with the estimate present-
ed above.
We also estimate the ISP from the spectropolarimetry of SN
2024ggi at day 267.1. Because the ejecta expand and the electron-­
scattering cross section decreases as ∝ t2
, the SN has entered the
nebular phase at such a late epoch. Except for several polarized blue-
shifted absorption components of the P Cygni profile (see the “Spec-
tropolarimetry of SN 2024ggi” section), the continuum spectrum
during the nebular phase can be treated as an unpolarized source
dominated by significantly blended emission lines from various
iron-­
group elements, which are free from electron scattering and
intrinsically unpolarized. Therefore, the continuum polarization
on day 267.1 also measures the ISP toward the SN. We measure the
error-­
weighted mean continuum polarization of more than 4000
to 6300 Å as Q+267d
ISP
= −0.25 ± 0.24% and U+267d
ISP
= 0.62 ± 0.24%,
consistent with the other methods. Throughout this paper, QISP =
−0.41% ± 0.05% and UISP = 0.55% ± 0.04% are adopted for the
intrinsic polarization of SN 2024ggi. These approaches provide dif-
ferent values compared to the Galactic ISP sampled by a bright star
∼1◦
away from SN 2024ggi. The result of this sanity check is dis-
cussed in the Supplementary Text and fig. S2.
The wavelength-­
dependent polarization of SN 2024ggi at day 1.1
shows a remarkable resemblance to the characteristic wavelength-­
dependent Serkowski law. In the low ISP regime, the observed wave-
length dependence can be well fitted by a single ISP component,
consistent with the single-­
cloud interpretation based on a compre-
hensive investigation on the effects of ISP induced by various inter-
stellar dust contents (95). However, high-­
resolution spectroscopy of
SN 2024ggi obtained at ≈3 days after its explosion reveals at least
three major discrete absorbing components (52). Therefore, the ISP
toward SN 2024ggi may not follow a single cloud model that ac-
counts for the day 1.1 observation.
We also conducted a sanity test to verify that the wavelength de-
pendence of the polarization across the observed wavelength range
on day 1.1 is intrinsic to the SN. The wavelength (λ) dependence of
the ISP can be approximated by the empirical Serkowski law (56)
where λmax and p
(
λmax
)
represent the wavelength and the level of the
maximum polarization, respectively. The parameter K characterizes
the width of the peak of the ISP. By attributing the wavelength-­
dependent polarization of SN 2024ggi on day 1.1 to the ISP, we fitted
a Serkowski law to the polarization spectra and present the results in
fig. S3 (left). However, as illustrated in fig. S4, the removal of the
wavelength dependence derived based on the day 1.1 observation
would introduce significant wavelength-­
dependent polarization at
all other epochs. As neither the endpoints nor the line segment pass-
es through the origin on the Q-­U plane from days 5.8 to 80.8, we
conclude that the ISP cannot be naturally accounted for by the
wavelength-­
dependent polarization on day 1.1. The latter, which
persisted only briefly after the SN explosion, is therefore intrinsic to
the SN and traces the geometry of the shock breakout.
In fig. S3 (right), we overlay the best-­
fit Serkowski law to the day
1.1 observation onto the polarization of SN 2024ggi on day 267.1,
when the SN has entered the nebula phase. We investigated the
wavelength dependence of the day 267.1 polarization by resampling
the data with large (150 Å) wavelength bins. The result does not re-
produce Serkowski’s fit to the day 1.1 observations, further strength-
ening the claim that the day 1.1 polarization is intrinsic to the SN,
rather than the ISP.
Spectropolarimetry of SN 2024ggi
Spectropolarimetry of SN 2024ggi was carried out with the FOcal
Reducer and low-­
dispersion Spectrograph 2 [FORS2; (96)] on Unit
Telescope 1 (UT1, Antu) of the Very Large Telescope at the ESO’s
Paranal site in Chile. Each observation in the Polarimetric Multi-­
Object Spectroscopy (PMOS) mode consists of eight exposures at
retarder-­
plate angles of 0°, 22.5°, 45°, and 67.5°. All observations
were carried out using the 300V grism and a 1′′
-­
wide slit. Therefore,
the resolving power and the intrinsic width of each resolution ele-
ment near its central wavelength at 5849 Å are R ∼ 440 and ∼13.3Å,
respectively, corresponding to ∼ 680 km s−1
(97). The observing log
is available in Table 1.
Preprocessing of the 2D images obtained at each retarder plate an-
gle and the extraction of the ordinary (o) and extraordinary (e) beams
were carried out with standard procedures within Image Reduction
and Analysis Facility (IRAF) (98, 99). Wavelength calibration of each
individual spectrum was performed separately, with a typical root
mean square accuracy of ∼0.20 Å. Following the prescriptions in
p(λ)∕p
(
λmax
)
= exp
[
−K ln2(
λmax∕λ
)]
(2)
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(100), we then derived the Stokes parameters and calculated the ob-
served polarization degree (pobs) and PA (PAobs)
where Q and U denote the intensity (I)–normalized Stokes param-
eters. An additional debiasing procedure was applied because the
true value of the polarization degree is nonnegative (101)
where σp and h denote the1σ uncertainty in pobs and the Heaviside
step function, respectively. Following the prescription described in
previous work [e.g., (93, 102)], where the wavelength-­dependent in-
strumental polarization in the PMOS mode of FORS2 (≲0.1%) was
characterized to remain stable over time, this effect was corrected
according to the characterization by (103). The low instrumental
polarization during the campaign of SN 2024ggi polarimetry is con-
sistent with that inferred from the observations of polarized and
unpolarized standard stars carried out in each night with observa-
tions for our program.
Throughout the paper, all spectra and spectropolarimetry data of
SN 2024ggi were corrected to the rest frame adopting the helio-
centric recession velocity of NGC 3621 of 730 km s−1
[z ≈0.002435;
(104)]. Spectropolarimetry of SN 2024ggi obtained from days 1.1 to
267.1 is displayed in figs. S5 to S13. All data are presented in the rest
frame and before correcting for the ISP. Principal component de-
composition of the SN 2024ggi spectropolarimetry is shown in
fig. S14 to better visualize the temporal evolution of the total-­
flux
spectra and the polarization spectra projected onto the dominant
axis and the orthogonal axis.
Polarization across the photoionized features
The exceptionally early-­
epoch polarimetry includes the short-­
lived
photoionization-­
powered emission lines during the first days of SN
2024ggi. In the first ∼2 days, the total-­
flux emission profiles consist
of a prominent emission peak and a weak, broad underlying compo-
nent with full width at half maximum intensity of ≈1000to 2000 km s–1
(fig. S15). We also computed the polarized flux density p × fλ across
the flash features and found no significant deviation from the ad-
jacent continuum. The broad wings are due to scattering by free
electrons in the unshocked, photoionized CSM (105–107). The po-
larization of the electron-­
scattering wings traces the spatial distri-
bution of the associated ionic species. The spectral-­
line-­
specific
geometric diagnostics are best derived in the Stokes Q-­U plane by
comparing, epoch by epoch, the location of a given spectral line and
that of the continuum (25). The slope of the distribution of the data
points represents the orientation of the symmetry axis of the feature
in question (line or continuum), projected onto the plane of the sky.
High-­ionization lines (e.g., O V λ5597) appear only at the earliest
phases and are generally thought to form in the relatively inner part
of the CSM and close to the shock front, where the highest tem-
peratures produce the highest ionization states. In the case of a
spherically symmetric shock breakout and the resulting concentric
ionization front, their identical shapes would manifest as a single
dominant axis in the continuum and for all early-­
time emission
lines. In SN 2024ggi (fig. S16), the polarization PAs of the spectral
lines with the highest ionization potentials (e.g., O V, χ = 113.9 eV)
follow that of the underlying continuum, while other lines such as C
IV λ5807 (=64.5 eV) and Hα (=13.6 eV) exhibit distinctly different
dominant axes than the continuum. Due to a saturation issue within
the rest-­
frame wavelength range of 4630 to 4710 Å that covers the
He II λ4686 (χ = 54.5 eV) emission line at day 1.1, this region was
excluded from the analysis of the line polarization.
Although both Hα and Hβ arise from the recombination to the
second excitation level of hydrogen, the transition probability ex-
pressed as the form of weighted oscillator strength [log(gf)] of Hα is
a factor of ∼5 higher than that of the Hβ. Therefore, higher polariza-
tion can be expected for Hα wherever an energy level of 13.6 eV
is reached. Compared to Hα, Hβ would mainly form at a much
narrower region. The polarization is also weaker and only becomes
dominant close to the photosphere, thus effectively tracing the ge-
ometry of the ionization front as early as day 1.1. The agreement
between the dominant axes of the continuum and the distribution of
the high-­
excitation lines on the Q-­
U diagram as presented in Fig. 3
further strengthens the interpretation of the axially symmetric con-
figuration of the shock breakout. Portraits of the early-­
phase photo-
ionized spectral features are offered in fig. S16. The O V line itself,
whose electron-­
scattering wings are likely to arise from the CSM
confined to the most energetic shock-­
ionization front, exhibits a
relatively clear dominant axis that is similar to that of the continuum.
The line polarization behavior is also compatible with the picture
inferred from the continuum polarization. As the shock-­
ionized
emission preferentially emerges promptly from the less dense re-
gions perpendicular to the plane of the CSM disc, the shock would
propagate faster toward the perpendicular directions when the ejec-
ta have not yet overrun the CSM. Consequentially, the faster shock
heats the postshock gas to a higher temperature, thus producing the
earliest prolate geometry that is aligned with the less-­
dense regions
perpendicular to the CSM plane. In contrast, the denser CSM plane
will decelerate the shock more strongly, resulting in a lower post-
shock temperature. The lower-­
ionization lines would preferentially
be developed in this lower-­
temperature region and occupy a broad
range in CSM-­
plane azimuth angle.
Modeling the polarization for an expanding envelope
Following the general assumptions of the Sobolev approximation
[e.g., (108)], we treat the SN atmosphere with a low-­
velocity gradi-
ent in its inner region, below some velocity cutoff vcut of a few thou-
sand kilometers per second, that radiates as a blackbody and is
surrounded by an expanding atmosphere with a significantly larger
velocity power-­
law exponent n. The density of the atmosphere at a
given time (t) after the explosion and different radial velocities (vr)
below and above the layer with vcut are given by
respectively. We denote as u and v the two components of vr that are
projected onto and perpendicular to the plane of the sky, respec-
tively. Therefore
pobs =
√
Q2 + U2, PAobs =
1
2
arctan
�
U
Q
�
(3)
p=
(
pobs −
σ2
p
pobs
)
× h
(
pobs −σp
)
PA=PAobs
(4)
ρin(t) ∝
(
t
t0
)−2
, ρout
(
vr, t
)
∝
(
vcut
vr
)n
×
(
t
t0
)−2
(5)
θ = tan−1
�
∣
u
v
∣
�
, vr =
√
u2 + v2, μ =
�
�
�
�
�1 −
�
u
vph
�2
(6)
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where vph represents the rest-­
frame velocity of the photosphere at a
given t. For an atmosphere of free electrons governed by Thomson
scattering, the intensities of the electric vectors parallel (Il) and
perpendicular (Ir) to the plane of the sky were adopted from equa-
tions 122 and 123 of (109). With this, the polarization degree p
and the intensity-­
normalized Stokes Q and U parameters can be
derived as
Here, ϕ is the longitude measured toward the line of sight.
Following (108, 110), we calculated the shape of the P Cygni pro-
file of the Hα line under the Sobolev approximation. The flux density
profile fenv was computed separately for the blue side (v < −vph), the
middle region (−vph ≤ v < 0 km s−1
), and the red side (v ≥ 0 km
s−1
). This prescription assumes a spherical atmosphere established
soon after the SN explosion. To account for the effect of asphericity,
we introduce a geometric factor A(θ, ϕ). By multiplying by the opti-
cal depth calculated for specific line velocities in the rest frame, this
function characterizes the directional dependence of the emission.
To investigate the overall geometric properties of the line-­
emitting
region, we adopted for the sake of simplicity an oblate spatial distri-
bution of the optical depth, namely
Therefore
The polarization is then calculated as
The misaligned symmetry axes of the shock breakout and
the ejecta-­
CSM interaction
With the most plausible scenario suggested by the temporal evolu-
tion of the polarization of SN 2024ggi (Figs. 1 and 4; see the “Inter-
stellar polarization” section), we expect a 180◦
difference between
the PA estimated at stages I and III because the transition from a
prolate to oblate geometry must go through a point with zero polar-
ization and flip the signs of the Stokes Q-­U parameters. A basic flip
in the orientation of the Q and U polarization distribution is illus-
trated in the bottom row of fig. S17 for the case when the prolate and
oblate components have a common symmetry axis. For this model,
the polarization of the electron-­
scattering emitting region is calcu-
lated for an expanding envelope (see the “Modeling the polarization
for an expanding envelope” section), which can be linearly decom-
posed into a “prolate” and an “oblate” component. The former and
the latter represent the prompt and the later emission that mainly
originate from the directions perpendicular to and within the CSM
plane, respectively.
On day 2.0, the continuum polarization jumps to its peak, i.e., from
[Q, U]day1.1
=[−0.043 ± 0.074%, 0.046 ± 0.077%] to [Q, U]day2.0
=
[+0.110 ± 0.075%, 0.381 ± 0.069%] (Fig. 1), computed as the error-­
weighted mean values of more than 3800 to 7800 Å. The continuum
polarization subsequently decreases monotonically. We hereby break
down the possible configurations of the ejecta and the CSM dis-
played in Fig. 4. In Fig. 4A, both the ejecta and the CSM are spheri-
cal, so that there will be no net polarization. In Fig. 4B, the shock
emerges from the star spherically symmetrically, and the asphericity
is entirely due to the CSM. In Fig. 4C, prolate ejecta will lead to a
prompt diffusion of photons from a spherical CSM along certain
directions. Configurations illustrated by Fig. 4 (B and C) exhibit
only one symmetry axis, producing a single dominant axis in the
Q-­U diagram (2). The breakout emission would thus emerge prompt-
ly toward the direction where a shorter diffusion time is achieved
(see the “Schematic evolution of the geometry of the ionization
front” section), producing a prolate photosphere as represented by
the equal-­
arrival-­
time contour. As a consequence, the dominant axis
would shrink monotonically and its orientation remains constant
over time until a flip of the signs of Q and U takes place (see the bot-
tom row of fig. S17). The blue and green dashed lines in Fig. 2 would
also coincide. The fact that we observed two distinctly different axes
in Fig. 1 disfavors the schematic scenario presented in Fig. 4B. A
similar argument applies to the alternative where the ejecta are
aspherical and the CSM is spherically symmetric (Fig. 4C).
If an aspherical shock breaks through the surface of the progeni-
tor into a nonspherical CSM (Fig. 4D), then the behavior is more
complex. The early polarization would also tend to be that of a pro-
late structure but aligned with the axes of neither the ejecta nor the
CSM. There would be a complex interaction between the ejecta and
the CSM, and the polarization tends to show an oblate geometry as
the photosphere recedes toward the H-­
rich envelope of the SN ejec-
ta. At later times when the CSM becomes transparent, the polariza-
tion should probe the geometry of deeper layers of the ejecta. This
qualitative behavior is reflected in our observations. The gradually
rotating distribution of the polarization of SN 2024ggi in the Stokes
Q-­U plane from days 1.1 to 6.9, which can only be disclosed by the
time-­
resolved data, suggests a misalignment between the aforemen-
tioned symmetry axes (see the top row of fig. S17). Consequently,
the continuum polarization paints a “loop-­
like” trajectory over time
(Fig. 2).
Models illustrating the gradual rotation of the direction of the
centers of the data cloud on the Stokes Q-­U plane over time, assum-
ing one prolate (blue) and one oblate (red) emission component
each, are presented in fig. S17. The top and the bottom rows display
the two symmetry axes misaligned by ∼20◦
and aligned scenarios,
respectively. The presented models adopt vcut = 1000 km s−1
, a den-
sity index of n = 1.5, and a viewing angle of θ0 = 90◦
and ϕ0 = 70◦
.
Coefficients that are arbitrarily assigned to describe the relative
strengths of the prolate and the oblate components (i.e., [cp, co]) for
the four epochs are [0.5, 0.0], [0.4, 1.2], [0.2, 1.6], and [0.1, 2.0]. We
note that the aim of fig. S17 is to provide a schematic illustration of
the polarization time evolution for the cases of a time-­
variant and a
fixed axisymmetry, as presented in the top and the bottom rows,
respectively. The continuum polarization of SN 2024ggi draws a
loop-­
like trajectory (Fig. 2), suggesting that the ejecta-­
CSM interac-
tion exhibits a different geometry compared to that measured at the
shock breakout and the H-­
rich ejecta.
I0(μ)=Ir(μ)+Il(μ), p=
Ir(μ)−Il(μ)
Ir(μ)+Il(μ)
, Q =pcos(2ϕ), U =psin(2ϕ) (7)
x2 + y2
a2
+
z2
c2
= 1 (8)
A(θ, ϕ) =
[
cos(θ)2
sin(ϕ)2
a2
+
sin(θ)2
sin(ϕ)2
a2
+
cos(ϕ)2
c2
]− 1
2
(9)
I = fenvA(θ, ϕ) (10)
q = Ipcos2ϕsin2θ (11)
u = Ipsin2ϕsin2θ (12)
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Schematic evolution of the geometry of the ionization front
As a simple representation of the aspherical CSM profile that would
produce the proposed prolate-­
to-­
oblate geometric transformation,
outside the expanding early ejecta, we adopt a spherical CSM enve-
lope that exhibits density variation throughout the azimuth, where
the highest density is achieved near the denoted CSM plane. We as-
sume that the CSM is centered on the SN and quickly swept up by
the matter ejected by the SN explosion. The time between the emis-
sion of a photon from the surface of the SN ejecta and its diffusion
out of the surrounding CSM can be estimated for any point at the
outer CSM boundary as
where =0.34 cm2
g−1
gives the opacity,ρ(r, θ) represents the number
density of the medium at distance r and viewing angle θ,ΔR denotes
the diffusion length from the ejecta to the location (r, θ) in the CSM,
and c is the speed of light.
The density profile of the CSM can be described as
where ρmin indicates the minimum density of the CSM at a latitude
angle of ϕ and n denotes the power-­
law index of the radial density
distribution. We estimate a characteristic isodiffusion-­
time con-
tour by adding up the distances between a given point of the CSM
and all points on the ejecta surface and dividing the lengths of
each path by the associated photon travel speed. The former counts
only the line segments that connect the given point on the outer
boundary of the CSM to the ejecta surface, while the latter is
dependent on the number density of the CSM where the photon is
traveling through (Fig. 4). The schematic isodelay contour takes
into account the asphericity of the ejecta as well as a disk-­
concentrated configuration of the CSM. The isodiffusion-­
time
surface can then be sketched over the entire CSM surface. The
isodiffusion-­
time surface can then be sketched over the entire
CSM surface.
When the shock propagates outward and progressively runs
into the CSM, the shock breakout can be seen toward the less-­
dense regions as hinted by the dominant axes measured across the
continuum, which aligned with the photoionized features (Fig. 4).
For a spherical CSM embedding a spherical shock breakout, pho-
tons will emerge from the CSM isotropically; thus, no polarization
would be expected as a consequence of the persistent spherical
symmetry (Fig. 4A). Any deviation from spherical symmetry in
the CSM or the ejecta would produce an aspherical isophoton-­
travel-­
time surface. Examples for the former case with a less-­
dense
CSM toward the perpendicular directions and the latter case with
a stretched ejecta are given in Fig. 4 (B and C), respectively. When
both configurations are aspherical and misaligned by a certain an-
gle, the prolate geometry is manifested as an interplay between the
internal shock breakout and the external CSM density distribution
(Fig. 4D). On day 1, lower-­
excitation lines can be found over a
wide range in azimuth. The emitting region traced by integrating
the reciprocal of the diffusion time calculated over the SN ejecta
exhibits a peanut shape (Fig. 4D). For this configuration, the sym-
metry axis connects the perpendicular directions, which have the
lowest CSM density.
Polarization of the prolate and oblate
geometric configurations
We use the 3D Monte Carlo polarization simulation code (111) for
electron-­
scattering–dominated photospheres to estimate the de-
viation from spherical symmetry of SN 2024ggi at various phas-
es. Following the prescription provided by (112), this technique
has been implemented in many SN polarization calculations
(41, 113–115). We discretize the space by a 100by100by100 3D
grid with uniform density (ρ) and electron-­
scattering opacity
(κes). Unpolarized Monte Carlo photon packets are emitted from an
electron-­
scattering–dominated photosphere with an even surface
brightness, where the Stokes parameters of each photon packet are
initialized as
For different ellipsoidal envelope configurations, Eq. 8 can be re-
written in cylindrical coordinates as
where we introduce the axis ratio (A = a∕c), with A < 1 and A > 1
representing the prolate and the oblate configurations, respectively.
The ellipsoidal envelope along radial isodensity surfaces can be
expressed as
where
In all calculations, we adopt a power-­
law index n = 12 (61) con-
sidering the rather dense and steep density profile of the outer layers
of the ejecta within the first few days after the SN explosion. The
maximum photosphere radius (Rph) is determined by the position
where the electron-­
scattering optical depth (τ) along the semimajor
axis of the ellipsoidal envelope equals unity, where
Here, ξout denotes the outer boundary of the ellipsoidal envelope.
Each photon packet is assigned a random optical depth τ = −ln(z)
(0 < z ≤ 1) during its propagation, indicating that scattering will oc-
cur whenever an electron packet reaches this optical depth while
traversing the medium. Each scattering would alter the Stokes pa-
rameters of the photon packet through multiplying the rotation
[L(ϕ)] and the phase [R(Θ)] matrices
where Iin and Iout denote the set of Stokes parameters in the rest
frame before and after a certain scattering event, respectively. Terms
i1 and i2 denote the angles on the spherical triangle as defined in
(116). The rotation matrix yields
td =
κρ(r, θ)ΔR2
c
(13)
ρ(r, θ) = ρ0r−n
[
∣cos(θ)∣ + ρmin
]
(14)
I =
⎛
⎜
⎜
⎜
⎝
I
Q
U
⎞
⎟
⎟
⎟
⎠
=
⎛
⎜
⎜
⎜
⎝
1
0
0
⎞
⎟
⎟
⎟
⎠
(15)
r2
A2
+ z2
= c2 (16)
ρ(ξ) = ρ0ξ−n
(17)
ξ =
√
r2
A2
+ z2 (18)
τ =
ξout
∫
Rph
κesρ(ξ)dz = 1 (19)
Iout = L
(
π−i2
)
R(Θ)L
(
−i1
)
Iin (20)
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12 of 16
and the phase matrix in the scattering frame can be written as
where Θ is the scattering angle in the scattering plane, which has
been chosen by sampling its probability distribution function ( fpdf)
Therefore,i1 andcosΘ can be sampled from a uniform distribution
The random seeds ξ1 and ξ2 are chosen from a uniform distribu-
tion on the interval [0, 1]. After each scattering, the photon packet
will travel along a different direction determined by i1 and cosΘ.
This process continues until the photon packet escapes the compu-
tational boundary and will be collected in different viewing angle
(θ) bins depending on its final direction �⃗
n. The continuum polariza-
tion of prolate and oblate photospheres seen from different viewing
angles θ is presented in figs. S18 and S19, respectively.
We remark that the purpose of these calculations is to provide a
rough quantitative justification of the inferred bipolar shock break-
out and the subsequent prolate-­
to-­
oblate geometric transformation.
The latter is also naturally reproduced by the calculations for a pro-
late (days 1.1 and 2.0, fig. S18) and an oblate (days 5.8 to 10.9,
fig. S19) configuration. A schematic of the temporal evolution of the
emission component as approximated by the combination of these
two is also illustrated in fig. S17. Within the optically thick regime
(τ >1), the peak of the polarization degree decreases as the optical
depth increases until it reaches its asymptotic value at τ ≳ 4 [figure 1
of (113)]. Therefore, the estimated ellipticities yield a lower bound of
the departure of the photosphere from spherical symmetry.
Polarization across the Balmer and He II lines
The systematically blueshifted Hα profile with emission peak veloci-
ties of ~–3000 to −2000 km s−1
from days 10.9 to 33.0 [fig. S20, see
also (51, 52)] suggests a rather steep radial density structure of the
H-­
rich envelope of SN 2024ggi. This can be understood as an enhanced
occultationoftherecedingsideoftheejecta,namely,extinctedbygason
the approaching side, leading to a suppressed emission toward the red
end of the emission profile (117). Furthermore, a rather steep density
gradient during the early recombination phase is expected (61). Under
such a high-­
density regime, the Balmer emission is driven by a combi-
nation of electron scattering and collisional bound-­
bound excitation.
The line polarization profile may thus be formed due to a combined
effect of the aspherical limb of the photosphere and the line excitation
(118). The latter may lead to an uneven blocking of the underlying
photosphere that induces polarization. The universal symmetry axis
shared by the prolate shock breakout and the oblate H-­rich envelope
further strengthens the proposal of an aspherical explosion of SN
2024ggi, with a well-­
defined symmetry axis.
Additionally, our monitoring of the polarization of SN 2024ggi
until day 80.8 shows several distinct temporal trends (fig. S21). Por-
traits of the spectral evolution of the Hα and Hβ lines are provided
in fig. S16. First, a dominant axis with 2PA+80.8d = 37◦
.0+5◦.9
−5◦.1
can be
identified (Fig. 1). A similar PA is measured after excluding the He I
and Balmer lines, 2PA = 34◦
.5+4◦.6
−5◦.2
(fig. S1). Second, the He I λ5876
line has emerged, the polarization of which tightly follows a well-­
defined dominant axis of 2 PA2PAHeI
= + 19◦
.0+4◦.9
−4◦.7
that is∼ 33◦
off
from the symmetry axis shared by the earliest prolate and the later
oblate configurations (Fig. 5). A rather small misalignment between
the well-­
defined dominant axis of the ejecta and that of He I λ5876
is inferred, 2PA+80.8d − 2PAHeI
≈ 16◦
. The presence of both strong
Balmer and He II lines and their different dominant axes, therefore,
suggests that the mixing of helium into the still optically thick H-­
rich envelope exhibits a different symmetry axis.
Determining the He-­
rich layer geometry requires spectropolarime-
try after the photosphere recedes through the H-­
rich envelope, the inner
ejecta exhibit a symmetry axis as indicated by the dominant axis fitted to
the continuum at day 80.8, which is misaligned with the outermost H-­
rich envelope as defined by a prolate-­
to-­
oblate geometry transformation
since the shock breakout. A more complicated inner geometry can be
inferred from the deviations from axial symmetry in moderate scales as
indicated by the departure from the dominant axis at day 80.8 (Fig. 1,
bottom right; and fig. S2, right). This is also compatible with the main
features of the neutrino-­
driven explosion that manifests on a large scale:
bubbles and fractured structures (119). Fallback-­
induced accretion may
be involved in reshaping the inner geometry of the ejecta (12, 120).
Supplementary Materials
This PDF file includes:
Supplementary Text
Figs. S1 to S21
References
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L(ϕ) =
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Acknowledgments: We are grateful to the European Organisation for Astronomical Research
in the Southern Hemisphere (ESO) for the allocation of Director’s Discretionary Time (DDT;
program ID 113.27R1; PI, Y.Y.) that enabled this study at ESO’s La Silla Paranal Observatory. We
express our appreciation to the staff of the Paranal Observatory for proficient and motivated
support of this project in service mode, particularly the prompt evaluation of our submission
of the DDT proposal, followed by the scheduling of the requested observations. These efforts
resulted in the earliest polarimetric observation of any transient. A.V.F. is grateful for the
hospitality of the Hagler Institute for Advanced Study as well as the Department of Physics and
Astronomy at Texas A&M University during part of this investigation. Funding: Y.Y.’s research is
partially supported by the Tsinghua University Dushi Program. L.W. acknowledges the US
National Science Foundation (NSF) for support through award AST-­
1817099. X.W. is supported
by the National Natural Science Foundation of China (NSFC grants 12288102 and 12033003),
the Newcorner Stone Foundation, and the Ma Huateng Foundation. J.C.W. is supported by NSF
grant AST1813825. A.G.-­
Y.’s research is supported by the ISF GW excellence center, an IMOS
space infrastructure grant and BSF/Transformative and GIF grants, as well as the André Deloro
Institute for Space and Optics Research, the Center for Experimental Physics, a WIS-­
MIT Sagol
grant, the Norman E Alexander Family M Foundation ULTRASAT Data Center Fund, and
Yeda-­
Sela; A.G.-­
Y. is the incumbent of the Arlyn Imberman Professorial Chair. P. Hoeflich
acknowledges support from NSF grant AST-­
1715133 (“Signatures of type Ia supernovae, new
physics, and cosmology”). S.S. is partially supported by LBNL Subcontract 7707915. Financial
support was provided to A.V.F.’s supernova group at U.C. Berkeley by the Christopher R. Redlich
Fund, S. Nelson, S. Nagaraj, L. Noll, S. Otellini, G. Bengier, C. Bengier, C. Winslow, S. Winslow,
S. Robertson (S.S.V. is a Steven Nelson Graduate Fellow in Astronomy, K.C.P. was a Nagaraj-­
Noll-­
Otellini Graduate Fellow in Astronomy, and Y.Y. was a Bengier-­
Winslow-­
Robertson Fellow in
Astronomy), and many other donors. The work of A.C. is supported by NOIRLab, which is
managed by the Association of Universities for Research in Astronomy (AURA) under a
cooperative agreement with the NSF. Author contributions: Conceptualization: Y.Y., X. Wen,
L.W., D.B., J.C.W., A.V.F., J.M., S.S., P.H., X.Wang, F.P., and S.S.V. Methodology: Y.Y., X. Wen, L.W.,
X. Wang, M.B., P.H., G.L., J.M., and F.P. Investigation: Y.Y., X. Wen, L.W., A.V.F., P.H., J.M., and F.P.
Visualization: Y.Y., X. Wen, and L.W. Supervision: Y.Y., L.W., J.C.W., A.V.F., X. Wang, and F.P.
Writing—original draft: Y.Y., X. Wen, L.W., and X. Wang. Writing—review and editing:
Y.Y., X. Wen, L.W., D.B., J.C.W., A.V.F., A.G.-­
Y., J.M., X. Wang, C.A., M.B., A.C., H.G., P.H., D.M., K.C.P.,
and S.S.V. Validation: Y.Y., X.Wen, L.W., J.C.W., X. Wang, J.M., and F.P. Formal analysis: Y.Y., X.
Wen, L.W., X. Wang, and S.Y. Funding acquisition: Y.Y., L.W., A.V.F., and X. Wang. Data
curation: Y.Y., X. Wen, L.W., and J.M. Software: Y.Y., X. Wen, and L.W. Project administration:
Y.Y. and X. Wang. Resources: Y.Y., X.Wen, L.W., and S.S.V. Competing interests: The authors
declare that they have no competing interests. Data and materials availability: All data
needed to evaluate the conclusions in the paper are present in the paper and/or the
Supplementary Materials. All data presented in this study are based, in part, on
observations collected at the European Organisation for Astronomical Research in the
Southern Hemisphere under ESO program 113.27R1 (PI, Y.Y.) and can be accessed via
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16 of 16
https://archive.eso.org/cms.html. IRAF is distributed by the National Optical Astronomy
Observatories, which are operated by the Association of Universities for Research in
Astronomy Inc., under cooperative agreement with the NSF. PyRAF, PyFITS, and STSCI_
PYTHON are products of the Space Telescope Science Institute (STScI), which is operated by
the Association of Universities for Research in Astronomy, Inc., under NASA contract
NAS5-­
26555. This research has made use of NASA’s Astrophysics Data System Bibliographic
Services, the SIMBAD database, operated at CDS, Strasbourg, France, and the NASA/IPAC
Extragalactic Database (NED), which is operated by the Jet Propulsion Laboratory, California
Institute of Technology, under contract with NASA.
Submitted 7 March 2025
Accepted 9 October 2025
Published 12 November 2025
10.1126/sciadv.adx2925
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An axisymmetric shock breakout indicated by prompt polarized emission from the type II supernova 2024ggi

  • 1.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 1 of 16 A S T R O N O M Y An axisymmetric shock breakout indicated by prompt polarized emission from the type II supernova 2024ggi Yi Yang1 *, Xudong Wen1,2 , Lifan Wang3,4 *, Dietrich Baade5 , J. Craig Wheeler6 , Alexei V. Filippenko7,8 , Avishay Gal-­ Yam9 , Justyn Maund10 , Steve Schulze11 , Xiaofeng Wang1 *, Chris Ashall12,13 , Mattia Bulla14,15,16 , Aleksandar Cikota17 , He Gao2,18 , Peter Hoeflich19 , Gaici Li1 , Divya Mishra3,4 , Ferdinando Patat5 , Kishore C. Patra7,20 , Sergiy S. Vasylyev7 , Shengyu Yan1 The death of massive stars is triggered by an infall-­induced bounce shock that disrupts the star. How such a shock is launched and propagates through the star is a decade-­long puzzle. Some models assume that the shock can be reenergized by absorbing neutrinos, leading to highly aspherical explosions. Other models involve jet-­ powered shocks that lead to bipolar explosions reflected in the geometry of the shock-­ breakout emission. We report mea- surement of the geometry of the shock breakout through unprecedentedly early spectropolarimetry of the near- by type II supernova 2024ggi starting ~1.2 days after the explosion. The measurement indicates a well-­ defined symmetry axis of the shock breakout, which is also shared by the hydrogen-­ rich envelope that emerged after the circumstellar matter was engulfed by the ejecta, revealing a persisting and prominent symmetry axis throughout the explosion. These findings suggest that the physical mechanism driving the explosion of massive stars mani- fests a well-­ defined axial symmetry and acts on large scales. INTRODUCTION “Since the beginning of physics, symmetry considerations have pro- vided us with an extremely powerful and useful tool in our effort to understand nature (1).” The geometry of a supernova (SN) explo- sion, which has been found aspherical, provides fundamental infor- mation on stellar evolution and the physical processes leading to these cosmic fireworks (2). Iron-­ core collapses of massive stars in the mass range of 8 to 20 solar masses (3, 4) are the dominant stellar explosions in the nearby universe (5). Neutrino-­ driven models of core-­ collapse supernovae (CCSNe) have only become successful in recent years thanks to three-­ dimensional (3D) simulations. In particular, the rebounce shockwave may stall to accretion toward certain directions, while the accretion of in-­ falling matter onto the proto neutron star and neutrino energy deposition is continuous in other directions. Such a neutrino-­ driven explosion would result in a break of spherical symmetry (6–8). Nevertheless, explaining the details about the generation of the shock waves dur- ing the collapse of the stellar core and the energy transportation via a burst of neutrinos to produce an explosion remains a challenge. Alternative models include the deposition of energy in the stellar envelope through mechanisms such as magnetorotational processes during the formation of the protoneutron star. This process, in which the progenitor iron core exhibits a short rotation period of ≲10 s (9, 10), may launch moderately relativistic jets into the outer core and the stellar envelope (11–16). Engines driving core-­ collapse ex- plosions may follow well-­defined global asphericities of the progeni- tor systems as hinted at by the observational evidence of SN remnants (17, 18) and pulsar kicks (19–23). Bipolar/jet-­ driven models com- patible with these observations have been proposed (12, 13, 24–26). Explosion models adopting pure neutrino heating within the spher- ically symmetric scheme (27–29) or driven by small-­ scale insta- bilities (30), on the other hand, are expected to be amorphous or exhibit no symmetry axis. Recent 3D radiation-­ hydrodynamic sim- ulations also illustrate that microscopic neutrino physics details in the early seconds can determine the large-­ scale ejecta structure that is preserved for days (31). Modeling of the blueward color evolution of SN 2023ixf, recorded within a few hours after the first light, infers an inhomogeneous emergence of the shock from the exploding star enshrouded by circumstellar matter (CSM) that started from where the opacity yields the smallest (32). The critical link between the shock breakout and the explosion mechanism that drives the expan- sion of the ejecta may be facilitated by comparing their geometries. Whether the former lines up with that of the SN ejecta and any ex- plosion fingerprints left toward the core-­ collapse center would thus provide a powerful probe of the explosion physics. Extremely early spectropolarimetry, taken within about 1 day af- ter shock breakout, offers a unique opportunity to observe how the shock emerges on the surface of the exploding star and interacts with any surrounding CSM as evidenced by short-­lived photoionized 1 Department of Physics, Tsinghua University, QinghuaYuan, Beijing 100084, China. 2 School of Physics and Astronomy, Beijing Normal University, Beijing 100875, China. 3 Department of Physics and Astronomy,Texas A&M University, 4242TAMU, College Station, TX 77843, USA. 4 George P. and Cynthia Woods Mitchell Institute for Funda- mental Physics and Astronomy, Texas A&M University, 4242 TAMU, College Station, TX 77843, USA. 5 European Organisation for Astronomical Research in the Southern Hemisphere (ESO), Karl-­ Schwarzschild-­ Str. 2, 85748 Garching b. München, Germany. 6 University of Texas at Austin, 1 University Station C1400, Austin, TX 78712-­ 0259, USA. 7 Department of Astronomy, University of California, Berkeley, CA 94720-­3411, USA. 8 Hagler Institute for Advanced Study, Texas A&M University, 3572 TAMU, Col- lege Station, TX 77843, USA. 9 Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot, Israel. 10 Department of Physics, Royal Holloway, University of London, Egham Hill, Egham, TW20 0EX, UK. 11 Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), Northwestern University, 1800 Sherman Ave, Evanston, IL 60201, USA. 12 Department of Physics, Virginia Tech, 850 West Campus Drive, Blacksburg, VA 24061, USA. 13 Institute for Astronomy, University of Hawai’i at Manoa, 2680 Woodlawn Dr., Hawaiʻi, HI 96822, USA. 14 Department of Physics and Earth Science, University of Ferrara, via Saragat 1, I-­ 44122 Ferrara, Italy. 15 INFN, Sezione di Ferrara, via Saragat 1, I-­ 44122 Ferrara, Italy. 16 INAF, Osservatorio Astronomico d’Abruzzo, via Mentore Maggini snc, 64100 Teramo, Italy. 17 Gemini Observatory/NSF’s NOIRLab, Casilla 603, La Serena, Chile. 18 Institute for Frontier in Astronomy and Astrophysics, Beijing Normal University, Beijing 102206, China. 19 Department of Physics, Florida State University,Tallahassee, FL 32306, USA. 20 Department of Astronomy and Astrophysics, University of California, Santa Cruz, CA 95064, USA. *Corresponding author. Email: yi_yang@​mail.​tsinghua.​edu.​cn (Y.Y.); lifan@​tamu.​ edu (L.W.); wang_xf@​mail.​tsinghua.​edu.​cn (X.W.) Copyright © 2025 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution License 4.0 (CC BY). Downloaded from https://www.science.org on November 21, 2025
  • 2.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 2 of 16 (“flash ionization”) spectral features (33–39). Because of the large distances of extragalactic supernovae (SNe), the regions concerned remain angularly unresolved, compressed to the radial velocity and time axes. Critical information about the 3D structure of the ejec- ta and their interaction with CSM is encoded in polarization spectra. Continuum polarization measures the deviations of the photosphere from spherical symmetry. Line polarization traces the distribu- tion of elements in the SN ejecta projected onto the plane of the sky (2). Modulation of the polarization degree and position angle (PA) across a spectral feature probe the strength of departure from spherical symmetry and its orientation, respectively, deliver- ing a low-­ resolution 3D map of the corresponding line-­ forming region (2, 40, 41). The acquisition of such a dataset close in time to shock breakout only became feasible recently thanks to the transient-­ alert stream produced by sub-­ day-­ cadence wide-­ field sky surveys, combined with rapid spectropolarimetric follow-­ up observations. RESULTS Spectropolarimetry of Supernova 2024ggi SN 2024ggi was discovered as a transient with rapid intranight rise (42) in the spiral galaxy NGC 3621 at a distance of 7.24 ± 0.20mega- parsec (Mpc) (43) and was quickly classified as a young type II SN (44). The transient alert stream was produced by the “Asteroid Terrestrial-­ impact Last Alert System” (45). The proximity of SN 2024ggi provides a rare opportunity to investigate the pre-­ to-­ post-­ explosion properties of this CCSN in great detail. We initiated a spectropolarimetric time sequence of SN 2024ggi (see Table 1), starting at UTC 05:57 on 2024-­ 04-­ 12 (MJD 60412.248) following the immediate approval of the European Southern Observatory (ESO) Director’s Discretionary Program [ID 113.27R1; principal in- vestigator (PI), Y.Y.]. The first epoch was carried out at ∼1.1days after the discovery on MJD 60411.14 (42), which is an objective obser- vation, and1.22+0.05 −0.05 days after the estimated time of shock breakout on MJD 60411.03+0.05 −0.05 (46), which is model dependent. Throughout this paper, all phases are given relative to the time of the SN discov- ery. The observing campaign on SN 2024ggi harvested one of the two earliest spectropolarimetric datasets of any transient, the other was1.39+0.05 −0.02 days after shock breakout (32) of SN 2023ixf (47). This rare early dataset enables us to measure the geometry of the shock breakout (see the “Spectropolarimetry of SN 2024ggi” section), which took place between days 0.7 and 1.2 as inferred from the ear- ly evolution of the ionization states of the CSM emission lines (46). Investigation of the geometry of the continuum and different spectral features can be facilitated by presenting spectropolarimetry on the normalized Stokes Q-­U plane (25). A prominent axial sym- metry of an electron-­ scattering structure leads to a wavelength-­ independent polarization PA of the continuum in the Q-­U plane. For data points with different wavelengths, their distance from the origin (polarization degree p) varies owing to different physical properties across the photosphere (e.g., temperature, density, and composition), resulting in a range of optical depths and scattering efficiencies. Together, they form a straight line known as the domi- nant axis (40, 48). The polarization over certain spectral ranges can be decomposed into a component along the dominant axis (Pd) and another one along the orthogonal axis (Po). The former captures the most dy- namic range of the data (40). Its slope in the Q-­U plane delivers the spatial orientation of the axial symmetry. For ejecta with rotational symmetry, the dominant and orthogonal axes measure the axial asphericity of the ejecta and the deviations from such a geometry, respectively. Therefore, for any wavelength range or spectral line of interest, a clear dominant axis would indicate a prominent axial symmetry of the associated opacity distribution. On the contrary, any clumpy, nonaxisymmetric structure will spread along the or- thogonal axis, making the dominant axis less significant (2). After removal of the interstellar polarization (ISP) arising from the foreground interstellar dust (see the “Interstellar polarization” section), in Fig. 1, we present the temporal evolution of the intrinsic continuum polarization of SN 2024ggi at eight epochs from days 1.1 to 80.8. In each panel, different symbols mark the inverse 1σ error weighted mean polarization over the wavelength ranges identified in the color bar. In the top left and bottom right panels, the black dashed lines show the dominant axes of the first and last datasets. In these ISP-­ corrected data, Q = 0 and U = 0 are between the red and blue wavelengths at day 1.1 and near the blue end of the dominant axis at day 80.8. The data at intermediate epochs do not show clear dominant axes. These data are substantially displaced from Q = 0 Table 1. Log of Very Large Telescope spectropolarimetry of SN 2024ggi. Epoch MJD Phase (day)* Grism Exp time (s)† Air mass Grism Exp time (s)† Air mass 1 60412.246 1.1 300V 180 × 4 × 2 1.39 – – – 2 60413.144 2.0 300V 45 × 4 × 2 1.03 1200B 80 × 4 × 2 1.04 NA‡  60416.078 4.9 300V 90 × 4 × 2 1.02 1200B 240 × 4 × 2 1.01 3 60416.988 5.8 300V 90 × 4 × 2 1.22 1200B 240 × 4 × 2 1.16 4 60418.008 6.9 300V 50 × 4 × 2 1.13 – – – 5 60422.023 10.9 300V 70 × 4 × 2 1.07 1200R 130 × 4 × 2 1.03 6 60430.996 19.9 300V 75 × 4 × 2 1.08 1200R 140 × 4 × 2 1.05 7 60444.164 33.0 300V 40 × 4 × 2 1.41 – – – 8 60491.979 80.8 300V 65 × 4 × 2 1.16 1200R 130 × 4 × 2 1.21 9 60678.246 267.1 300V 480 × 4 × 2 1.26 – – – *Relative to the estimated time of the shock breakout at MJD 60411.03.   †Observations carried out with two exposures each at four different half-­ wave– plate angles.  ‡Not applicable (NA) since dataset discarded due to poor seeing (∼4.8�� ). Downloaded from https://www.science.org on November 21, 2025
  • 3.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 3 of 16 and U = 0. A marked change of the continuum polarization (from days 1.1 to 2.0) is followed by a gradual drift until a roughly station- ary geometry is reached at day 10.9, indicating a large-­ scale trans- formation of the geometry as the CSM is swept up by the SN ejecta. Throughout all analyses and figures, the ISP has been subtracted un- less stated otherwise. Stage I—The shock-­ breakout phase At very early epochs, the photosphere of SN 2024ggi was most likely engulfed in the CSM, as evidenced by several highly photoionized narrow features superposed on a blue continuum (see the “Polar- ization across the photoionized features” section) (46, 49–52). The dynamical timescale is short on day 1, when the photospheric ra- dius yields ≲ 1.5 × 1014 cm (46) and the ejecta expand rapidly. At day 1.1, the Q-­U diagram shows a well-­ defined dominant axis with 2PAday1.1 = 132◦ .7+4◦.3 −3◦.7 (Fig. 1), where PA = 0.5 tan−1 (U/Q). The dis- tribution of the day 1.1 polarization can also be described by an ellipse, whose semimajor and semiminor axes are defined by the scatter about the dominant and orthogonal axes, namely, a ≈ 0.12% and b ≈ 0.09%, respectively (Fig. 2). As supported by the blueward g-­r color evolution and the continuous rise of the until about day 1.6 (46, 49, 52), spectropolarimetry at day 1.1 measures the emis- sion of the shock breakout, when photons promptly diffuse out of the optically thick CSM in certain directions. We note that such a geometry measurement is only feasible immediately after the onset of the shock breakout, during a brief moment when the shock has promptly emerged from the surface of the progenitor in some direc- tions, while the remaining part of the shock is still embedded in the optically thick atmosphere or CSM. Therefore, the first epochs of spectropolarimetry of SN 2023ixf did not infer the shock breakout geometry (47, 53–55), as the spread of the shock front to cover the entire surface of the SN 2023ixf progenitor persisted only for the first few hours (32). We remark that the wavelength-­ dependent polarization on day 1.1 closely resembles the ISP as described by the empirical Serkowski law (56). Our attempts to characterize such a time-­ invariant redis- tribution of the data points on the Q-­U plane imply that the day 1.1 polarization wavelength dependence is intrinsic to the SN (see the “Interstellar polarization” section). Instead, a wavelength-­ dependent photosphere would be expected for a spherically asym- metric shock breakout. The total observed intensity is a summation of various emitting components, each having an intensity of Ij(λ) at a given wavelength λ. The net polarization is thus the total polarized flux normalized by the total flux, i.e., Therefore, even if the polarization of each emission component with a characteristic blackbody temperature is wavelength indepen- dent, the net polarization can still be wavelength dependent. Additional information on the geometry can be deduced from the polarization across spectral lines, which is especially sensitive to the geometric distribution of chemical species involved rather than the global shape represented by the photosphere and the continuum polarization. For a geometric structure with rotational symmetry, the Q-­U diagram representing the wavelength bins within a spectral line reflects the geometry of the atomic species producing the line. p(λ) = ∑ j Ij(λ)pj(λ)∕ ∑ j Ij(λ) (1) Fig. 1. Temporal evolution of the polarization of SN 2024ggi after subtracting the ISP. In the top left and bottom right panels, the black dashed line shows the dominant axis determined from linear fits to the small data points (the PAs and uncertainties are labeled), which cover the wavelength range of 3800 to 7800 Å. The ori- entation of the dominant axis in degrees with uncertainties is indicated in the subpanels for days 1.1 and 80.8. A dashed ellipsoidal contour, whose major and minor axes respectively represent the 1σ dispersion about the dominant and orthogonal axis, is also presented. In each panel, different symbols mark the error-­ weighted mean po- larization calculated over the wavelength ranges identified in the color bar. A marked change of the continuum polarization (from days 1.1 to 2.0) is followed by a gradu- al drift until a roughly stationary geometry is reached at day 10.9. This behavior is accompanied by a clockwise rotation of the distribution of the data points, revealing a large-­ scale transformation of the geometry as the CSM is swept up by the SN ejecta. Light gray lines in the top left and bottom right panels present the dominant axes fitted to the data through a Monte Carlo resampling approach using the errors in Q and U measured at each wavelength bin. Downloaded from https://www.science.org on November 21, 2025
  • 4.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 4 of 16 The emitting regions at the earliest epoch most closely trace the ion- ization front of the shock propagating in the CSM, as indicated by the common dominant axis determined from the continuum and from the spectral features with the highest ionization potentials. Because electron-­ scattering emission wings are sensitive to small-­ scale structure such as lumpiness in the scattering CSM, we focus on the emission cores of lines on day 1.1 of SN 2024ggi. The line cores are less affected by electron scattering than the line wings. The po- larization of the line cores as displayed in the Stokes Q-­U plane should more closely trace the geometry of the shock-­ breakout ionization front with the least influence from other effects. As illustrated in Fig. 3 (top right), all photoionized spectral features line up with the domi- nant axis on day 1.1. The only exception is Hα; the excitation energy of Hα (χ = 13.6 eV) is the lowest among all lines identified in the earliest flux spectrum and can thus be emitted over a wide range of angles with respect to the direction of the shock breakout so that any geometrical information is strongly diluted. By contrast, the highest excitation state, O V (χ = 113.9 eV), exhibits a clear dominant axis across the O V λ5597 feature similarly to the continuum (fig. S16). This observational signature can be understood as the associat- ed high ionization potential required by the highly ionized spe- cies to be realized close to the shock front, where the highest temperature produces the highest excitation states. The fact that the high-­ ionization lines (e.g., C IV λλ5801, 5812, N IV λλ7109, 7123, and O V λ5597) in the spectra of SN 2024ggi emerged after day 1.1, rather than before day 0.7 (46), is compatible with an early increase in photospheric temperature (49, 52, 57). This suggests a shock breakout within the CSM where a progressively hotter and stronger radiation field is emitted, in contrast to a shock-­ cooling process (52, 57–59). Accordingly, the polarization of the continuum on day 1.1 traces the geometry of the emitting zone, where the shock break- out promptly leaks into the CSM. The line photons with the highest excitation potential on day 1.1 are formed close to the ionization front produced by the shock; thus, their polarization traces the pre-­ shocked CSM over the line-­ forming regions. Stage II—The ejecta-­ CSM interaction From days 1.1 to 2.0, a clockwise rotation by 2PA ≈ 59◦ is seen among the data clouds in the Stokes Q-­U plane, which represents the continuum polarization of more than 3800 to 7800 Å. The ro- tation continued at a slower rate after day 2.0 until the degree of continuum polarization settled at a roughly stationary level be- tween days 10.9 and 33.0 (Fig. 1). Such temporal evolution does not necessarily imply a rotation of the symmetry axis in space, but it can be due to a change in the relative contributions of dif- ferent structures to the total signal. Figure 2 summarizes the tem- poral evolution of the continuum polarization by resampling the observations at each epoch into very broad 800-­ Å wavelength bins. The green dashed line in Fig. 2 (left) shows the dominant axis as defined by the data on day 1.1. It represents the geometric axis Fig. 2. Temporal evolution of the continuum polarization of SN 2024ggi displayed in the Q-­U plane. (Left) The blue-­ , green-­ , and pink-­ shaded areas mark the three stages of the SN 2024ggi polarimetry. Different symbols represent the continuum polarization of SN 2024ggi at different epochs. The thin green dashed line shows the dominant axis at day 1.1 for comparison. The blue dashed line approximately follows the stage II locus (days 2.0 to 6.9), when the interaction between the ejecta and CSM led to a change in overall geometry.The black arrow represents the PA of the continuum polarization of stage III, which was estimated by the error-­weighted mean of days 10.9, 19.9, and 33.0. The size of each contour is determined by the standard deviation of the polarization measured at the encircled epoch(s). (Right) The top, middle, and bottom right panels show the scaled flux-­ density spectra (Fλ) at days 1.1 (stage I), 2.0 (stage II), and 10.9 (stage III), respectively, with major photoionized lines from sev- eral species labeled at velocity v in the rest frame. The region of the dark-­ gray–shaded band at day 1.1 suffers from detector saturation. Observations at day 80.8 are not presented as the polarization is affected by strong outward mixing of the inner He-­ rich layer and nickel clumps. Downloaded from https://www.science.org on November 21, 2025
  • 5.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 5 of 16 of the photosphere at the earliest epoch, which is mostly within the CSM layer ionized by the shock-­ breakout flash. From days 2.0 to 6.9, the photosphere recedes into a deeper layer of the CSM where the emission produced by the expanding ejecta interacting with the CSM becomes progressively dominant. The time-­ evolving continuum polarization during stages I and II as displayed in Fig. 2 clearly reveals a misalignment between the shock breakout and the later ejecta-­ CSM interaction processes (see the “Modeling the polar- ization for an expanding envelope” and “The misaligned symmetry axes of the shock breakout and the ejecta-­ CSM interaction” sections). The dominant axis can no longer be identified during stage II as seen in individual epochs compared to that on day 1.1 (Fig. 1). The temporal evolution of the continuum polarization measurements from days 2.0 to 6.9 follows a different path compared to the axial symmetry on day 1.1 (the blue dashed line in Fig. 2), demonstrating that the ejecta-­ CSM interaction process manifests a geometry different from that inferred during the shock-­ breakout phase:2PACSM = 109◦ .8+10◦ .7 −5◦.2 compared to 2PAday1.1 = 132◦ .7+4◦.3 −3◦.7 , respectively. From days 2.0 to 6.9, lines from ions such as O V, N IV, C IV, and Hβ are much weaker, and their dominant axes become significantly less prominent. We sketch out four possible geometric configurations of the ejecta within the CSM in Fig. 4. The schematic drawing of the CSM exhibits a density variation that manifests as a moderate density en- hancement toward a specific orientation, namely, the CSM plane (i.e., by a factor of≲2; see the “Schematic evolution of the geometry of the ionization front” section). The schematics represent only the transition of the emission from stages I to II. On day 1.1, the pho- tosphere displays an axially symmetric structure with a dominant axis that agrees with the shape of the shock breakout from the CSM, eliminating the doubly spherically symmetric case illustrated by Fig. 4A. The configuration evolves rapidly toward a geometry dominated by that of the CSM. However, we find that a spherical shock breakout sculpted by an aspherical CSM (Fig. 4B) and an aspherical shock breaking out of a spherical CSM (Fig. 4C) would both imprint a single symmetry axis at all times (see the “Polarization of the prolate and oblate geometric configurations” section; fig. S17). Both configurations would manifest as a progressive shrinkage of the distance between the data cloud and the zero point in the Q-­U plane until the data sequence flips to the opposite direction (see the bottom row of fig. S17) instead of displaying the observed gradual ro- tation (Fig. 1) that draws a loop-­ like trajectory (Fig. 2). Therefore, we conclude that the symmetry axes of the shock breakout (day 1, green dashed line in Fig. 2) and the ejecta-­ CSM interaction (days 2 to 7, blue dashed line in Fig. 2) are misaligned, requiring an aspherical shock breakout from the progenitor surface as the explanation. We conclude that Fig. 4D, where the shock breakout and the CSM are both ellipsoi- dal but misaligned, is a more realistic representation of SN 2024ggi. Stage III—Dominance of the hydrogen-­ rich envelope At later epochs (day 10.9 and thereafter), the characteristic P Cygni profiles of the Balmer lines are fully developed (fig. S20), implying that the receding photosphere has passed the inner boundary of the Fig. 3. Polarizations measured in the central ±10 Å of various emission peaks at days 1.1 and 2.0. The emission cores as highlighted by the color-­ shaded spectral regions in the left subpanels are less affected by the electron-­ scattering emission from the wings (which are sensitive to smaller-­ scale structures such as lumpiness of the scattering region). Their distribution in the Stokes Q-­U plane as shown in the top right and bottom right panels for days 1.1 and 2.0 (respectively), traces the geometry of the shock-­ breakout ionization front with the least influence from other effects. In the top right panel, the green dashed line presents the dominant axes determined over the wavelength range of 3800 to 7800 Å on day 1.1. Downloaded from https://www.science.org on November 21, 2025
  • 6.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 6 of 16 CSM and resides in the hydrogen-­ rich envelope of the exploding progenitor (see the “Polarization across the photoionized features” section for the temporal evolution of the spectral features). Polarim- etry on and after day 10.9, thus, probes the geometry of the H-­ rich envelope of the outermost SN ejecta. The roughly circular, not elon- gated distribution of the data points in the Stokes Q-­U plane hinders the identification of a dominant axis of SN 2024ggi at individual epochs. The PA of the H-­ rich envelope in stage III estimated from the error-­ weighted mean of the polarization on days 10.9, 19.9, and 33.0 yields 2PAej = −20◦ .4+32◦ .4 −25◦ .3 , which differs by ∼153◦ from the symmetry axis inferred for stage I. This change in PA close to a flip in the direction in the Q-­U plane discloses a similar axial symmetry in stages I and III, with a geometric prolate-­ to-­ oblate transforma- tion in between. As an example shown in the “The misaligned sym- metry axes of the shock breakout and the ejecta-­ CSM Interaction” section and the top row of fig. S17, a small change of axial symmetry during stage II would manifest itself as a gradually rotating data cloud in the Q-­U plane, which qualitatively accounts for the ob- served evolving continuum polarization of SN 2024ggi. In contrast, a flip of the dominant axis would imply a geometric transformation with the same symmetry axis [Fig. 2, the bottom row of fig. S17; see the “The misaligned symmetry axes of the shock breakout and the ejecta-­ CSM interaction” section; (60)]. By approximating the electron-­ scattering atmosphere with an el- lipsoid and aρ(r) ∝ r−12 density distribution (61), the temporal evo- lution of the continuum polarization suggests moderate asphericity if viewed within ∼30◦ to 60◦ from the aspect angle of the observer, i.e., ∼0.8 ≲ A ≲ 0.95 and ∼1.2 ≲ A ≲ 1.4 for the prolate (before day 2.0, fig. S18) and the oblate (days 5.8 to 10.9, fig. S19) configurations, respectively (see the “Polarization of the prolate and oblate geomet- ric configurations” section). From days 10.9 to 33.0 (stage III), the Hα and Hβ lines exhibit PAs of the dominant axes that are roughly consistent with the orientation of the data cloud and that of the shock breakout (Fig. 5. The only apparent exception is the Hβ line on day 33.0; however, it is caused by a blend with the emerging blue- shifted Fe II λ5018 line (figs. S20 and S11). This tends to confirm that, except for stage II when the ejecta-­ CSM interaction is promi- nent, the axial symmetry derived from the continuum persists throughout the explosion of SN 2024ggi. The detection of SN 2024ggi also in x-­ rays during the first few days (62–64) supports the notion that the early shock-­ breakout pro- cess is modified by a dense and confined CSM. The direct measure- ment of the shock-­ breakout geometry, which exhibits a spatially elongated, axially symmetric configuration (figs. S17 and S18), is also compatible with the blueward color evolution within the first day (49, 52, 57). The early polarization evolution of SN 2024ggi is highly complementary to the existence of the CSM and the way the CSM modifies the shock breakout. The symmetry axis defined by the shock breakout, which is aligned with that inferred for stage III, suggests that the core collapse could be driven by a mechanism that shapes the explosion on large scales. Moreover, the continuum po- larization of SN 2024ggi shows a conspicuous time evolution but never exceeded ≲0.4% (A ≲ 1.4; see the “Polarization of the prolate and oblate geometric configurations” section), which is lower than the ≲2% and ~1% observed in the early phases of the type IIn SN 1998S (65) and type IIL/IIP SN 2023ixf (47, 53–55). SN 1998S can be adequately modeled with a pole-­ to-­ equator density ratio of ~5 (66). In summary, the shock-­ breakout phase of SN 2024ggi shows a well-­ defined symmetry axis. The moderate global asymmetry is overall consistent with an asymmetry induced by an emitting zone extended in a particular direction. DISCUSSION SN 2024ggi enables measurement of the shock-­ breakout geometry soon after the explosion. During this brief earliest moment, the ge- ometry reflects the asymmetry of the explosion itself, as the photons toward the preferred directions of the explosion diffuse out promptly (Fig. 4D). SN 2024ggi is also the second of two H-­ rich CCSNe after SN 2023ixf (32, 67) with spectrophotometric observations carried out days after shock breakout (32, 67–69), for which significant aspheric- ity during the shock breakout as well as ejecta engulfing CSM with large-­ scale asymmetry have been diagnosed (47, 53). This may sug- gest a general pattern for the shock breakout from dying massive stars. 3D full-­ sphere SN simulations also suggest the development of large-­ scale asymmetries that manifest themselves as giant plumes of radioactive matter penetrating deeply into the helium and hydrogen envelopes (31, 70). In contrast, the standing accretion shock in- stability (71, 72) and a rather steep density gradient near the de- generate core will result in small-­ scale asymmetries in the ejecta (73). The shock breakout that evinces large-­ scale directional dependencies also indicates that the time at which the shock emerges on the progenitor surface along the plume-­ mixing or other directions could differ by ∼+0.7 days. Such a significantly aspherical explosion is also supported by very recent 3D hydrody- namic calculations, suggesting that the shock-­ breakout geometry A B C D Fig. 4. Illustration of the expanding ejecta and the invariant CSM for different explosion schematics. In each panel, the blue dashed contour displays the location of the ionization front estimated from the isodiffusion-­time surface (see the“Schematic evolution of the geometry of the ionization front”section) and the solid gray circle/ ellipse represents the outer boundary of the CSM, and the solid black circle/ellipse shows the outer boundary of the SN ejecta embedded in the CSM. The different sche- matics are (A) spherical ejecta and spherical CSM, (B) spherical ejecta and disk-­ concentrated CSM, (C) aspherical ejecta and spherical CSM, and (D) aspherical ejecta and disk-­ concentrated CSM. The axisymmetric prompt shock-­ breakout emission during stage I and the time-­ dependent symmetry axis during the transition to stage II sug- gest (D) as the most plausible scenario. Downloaded from https://www.science.org on November 21, 2025
  • 7.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 7 of 16 could be shaped by neutrino-­driven turbulence developed at the ini- tial core collapse and preserved during the following few days (31). Although such a bubble-­ driven explosion is compatible with the observed large-­ scale asymmetry shared by the shock breakout and the SN ejecta, additional mechanisms that regulate the explosion to maintain a well-­ defined axial symmetry may still be needed. The early axisymmetric configuration of SN 2024ggi may also be com- patible with a prompt outflow enhanced moderately toward the polar regions. Core collapses producing a neutron star and involving an amplified magnetic field through magnetorotational instability may lift matter along the rotational axis of the collapsing core (74, 75). This process does not necessarily involve the formation of powerful jets that penetrate the helium and hydrogen envelopes, as implied by the moderate level of asphericity observed throughout the shock breakout and the ejecta expansion phases of SN 2024ggi. Details on how such a Lorentz-­ force-­ driven mechanism would account for the prompt axial symmetric emissions of SN 2024ggi require future quan- titative model calculations. Additional geometric clues include the spatially resolved axisym- metric structures consistent with a bipolar outflow in the Crab Nebula (76) and Cassiopeia A (77, 78) that can be traced into the explosion zone. The explosion mechanism may be related to col- lapsar models for long-­ duration gamma-­ ray bursts (79) and even magnetar models of some superluminous SNe (80, 81). The misalignment of the axes of the CSM and the ejecta (Fig. 2) deserves further attention. The mass loss from the progenitor star may be governed by processes related to the angular momentum of the progenitor system, either as a single star or a binary companion, which may naturally produce the misalignment of the explosion and the CSM symmetry axes. Binary mass transfer during the common-­ envelope phase tends to enrich the CSM toward the orbital plane (82). Such a disk-­ concentrated CSM content, which is compatible with the polarization time series of SN 2024ggi, could be ubiquitous considering ≳80% of massive stars are in multiple systems (83). A magnetic field, which becomes more toroidal with distance from the progenitor, can also play a key role in shaping the CSM as inferred from well-­ structured planetary nebulae (84, 85). Unlike the sym- metry axis defined by the angular momentum of the system, the origins of the magnetic fields may be more complex and exhibit axes that are significantly different from the stellar rotation axis. For in- stance, the ejecta symmetry axis of SN 1987A is ∼28◦ away from the CSM symmetry axis (86), and the type IIn SN 1998S displayed con- spicuously different PAs of the continuum polarization and the po- larization across the Balmer lines (25, 65). During the core collapse and the formation of the protoneutron star, the neutrino-­ driven instabilities or the initiation of jets through magnetorotational in- stabilities would also follow the structures of the progenitor stars (87–89), not the CSM. The combination of rotation encapsulated in the explosion geometry and magnetic fields encapsulated in the CSM geometry may naturally account for the misaligned axial sym- metry between the ejecta and CSM. Spectropolarimetry of SN 2024ggi reveals a moderately aspheri- cal explosion that shows a well-­ defined symmetry axis shared by the prompt shock-­breakout emission and the SN ejecta. This vari- ability illustrates that instead of an amorphous/spherical setup resulting from small-­ scale instabilities, the core-­ collapse explo- sion of SN 2024ggi can be driven by a mechanism that shapes the explosion from the earliest shock breakout throughout the entire ejecta expansion. MATERIALS AND METHODS Interstellar polarization To investigate the polarization intrinsic to SN 2024ggi, before pro- ceeding to detailed discussions of the observed polarization, we de- rive the ISP induced by the dust grains along the SN-­ Earth line of sight. The ISP estimation was carried out using the earliest (day 1.1) and the day 80.8 polarization, where a global axially symmetric photosphere can be inferred from the presence of a prominent dom- inant axis. After correction for the ISP, the dominant axis is seen as a straight line passing through the origin, as expected for an axisymmetric Fig. 5. Time-­ variant polarization across the Balmer lines of SN 2024ggi. Evolution in the Q-­U plane of H𝛂 from days 10.9 to 33.0 and H𝛃 from days 10.9 to 19.9 are presented in the top and the bottom rows, respectively.The colors encode rest-­frame velocities according to the color bars. In each panel, the magenta dot-­dashed line fits the polarization distribution measured at different velocities that cover the corresponding spectral feature. The green dashed lines overplot the dominant axis at day 1.1, which appears to be aligned with that of the H envelope that has progressively emerged after day 6.9. Downloaded from https://www.science.org on November 21, 2025
  • 8.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 8 of 16 configuration (90, 91), and the intersection of the dominant axes on days 1.1 and 80.8 at QISP = −0.40 ± 0.05% andUISP = 0.54 ± 0.04% yields the ISP (fig. S1). The ISP is weakly dependent on wavelength, in particular within the low-­ ISP regime (90). In the coordinate sys- tem defined by the Stokes Q and U parameters [i.e., the Q-­U plane; (25)], the effect of the ISP is largely the introduction of uncertain- ties of the zero point. It is also expected to be time-­ independent (24) and manifests as an offset in the Stokes Q-­U diagram with- out affecting the morphological patterns of the data points. High-­ resolution spectroscopic observations of the Na I D ab- sorption doublet have led to the conclusion that the line-­ of-­ sight extinction toward SN 2024ggi can be decomposed into a Galactic [E(B−V)MW = 0.120 ± 0.028 magnitude (mag)] and a host-­ galaxy [E(B−V)host = 0.034 mag; (52)] component. Because interstellar extinction and polarization are both induced by dust grains (56), the stronger Galactic extinction suggests that the Galactic polarization is the dominant component of the ISP. In the case of SN 2024ggi, the exact ISP level is difficult to estimate with the widely used standard methods [e.g., (92, 93)]. In particular, the absence of resolved cores of emission profiles dominated by unpolarized photons released by recombination is a handicap. Polarization by dust grains in the interstellar matter shifts the dominant axis away from the origin in the Q-­U plane. For SN ejecta with a high degree of axial symmetry, the ISP would be located at one of the ends (or beyond them) of the dominant axis (2, 40, 94). If the variability of an object causes the dominant axis of the intrinsic polarization to rotate, then the rotation angle is independent of the chosen value of the ISP because the latter only introduces a displace- ment of the data points from the origin. However, careful subtrac- tion of the ISP is of paramount importance when determining the shape of an object from its intrinsic polarization. Another approach to estimate the total line-­ of-­ sight ISP assumes that the emission peak of the strong P Cygni profiles of the Balmer lines is unpolarized during the photospheric phase of type II/IIP SNe (91). We estimate the error-­ weighted mean polarization within a wavelength range of 6550 to 6750 Å to be Q+33d ISP = −0.32 ± 0.04% and U+33d ISP = 0.55 ± 0.08%, consistent with the estimate present- ed above. We also estimate the ISP from the spectropolarimetry of SN 2024ggi at day 267.1. Because the ejecta expand and the electron-­ scattering cross section decreases as ∝ t2 , the SN has entered the nebular phase at such a late epoch. Except for several polarized blue- shifted absorption components of the P Cygni profile (see the “Spec- tropolarimetry of SN 2024ggi” section), the continuum spectrum during the nebular phase can be treated as an unpolarized source dominated by significantly blended emission lines from various iron-­ group elements, which are free from electron scattering and intrinsically unpolarized. Therefore, the continuum polarization on day 267.1 also measures the ISP toward the SN. We measure the error-­ weighted mean continuum polarization of more than 4000 to 6300 Å as Q+267d ISP = −0.25 ± 0.24% and U+267d ISP = 0.62 ± 0.24%, consistent with the other methods. Throughout this paper, QISP = −0.41% ± 0.05% and UISP = 0.55% ± 0.04% are adopted for the intrinsic polarization of SN 2024ggi. These approaches provide dif- ferent values compared to the Galactic ISP sampled by a bright star ∼1◦ away from SN 2024ggi. The result of this sanity check is dis- cussed in the Supplementary Text and fig. S2. The wavelength-­ dependent polarization of SN 2024ggi at day 1.1 shows a remarkable resemblance to the characteristic wavelength-­ dependent Serkowski law. In the low ISP regime, the observed wave- length dependence can be well fitted by a single ISP component, consistent with the single-­ cloud interpretation based on a compre- hensive investigation on the effects of ISP induced by various inter- stellar dust contents (95). However, high-­ resolution spectroscopy of SN 2024ggi obtained at ≈3 days after its explosion reveals at least three major discrete absorbing components (52). Therefore, the ISP toward SN 2024ggi may not follow a single cloud model that ac- counts for the day 1.1 observation. We also conducted a sanity test to verify that the wavelength de- pendence of the polarization across the observed wavelength range on day 1.1 is intrinsic to the SN. The wavelength (λ) dependence of the ISP can be approximated by the empirical Serkowski law (56) where λmax and p ( λmax ) represent the wavelength and the level of the maximum polarization, respectively. The parameter K characterizes the width of the peak of the ISP. By attributing the wavelength-­ dependent polarization of SN 2024ggi on day 1.1 to the ISP, we fitted a Serkowski law to the polarization spectra and present the results in fig. S3 (left). However, as illustrated in fig. S4, the removal of the wavelength dependence derived based on the day 1.1 observation would introduce significant wavelength-­ dependent polarization at all other epochs. As neither the endpoints nor the line segment pass- es through the origin on the Q-­U plane from days 5.8 to 80.8, we conclude that the ISP cannot be naturally accounted for by the wavelength-­ dependent polarization on day 1.1. The latter, which persisted only briefly after the SN explosion, is therefore intrinsic to the SN and traces the geometry of the shock breakout. In fig. S3 (right), we overlay the best-­ fit Serkowski law to the day 1.1 observation onto the polarization of SN 2024ggi on day 267.1, when the SN has entered the nebula phase. We investigated the wavelength dependence of the day 267.1 polarization by resampling the data with large (150 Å) wavelength bins. The result does not re- produce Serkowski’s fit to the day 1.1 observations, further strength- ening the claim that the day 1.1 polarization is intrinsic to the SN, rather than the ISP. Spectropolarimetry of SN 2024ggi Spectropolarimetry of SN 2024ggi was carried out with the FOcal Reducer and low-­ dispersion Spectrograph 2 [FORS2; (96)] on Unit Telescope 1 (UT1, Antu) of the Very Large Telescope at the ESO’s Paranal site in Chile. Each observation in the Polarimetric Multi-­ Object Spectroscopy (PMOS) mode consists of eight exposures at retarder-­ plate angles of 0°, 22.5°, 45°, and 67.5°. All observations were carried out using the 300V grism and a 1′′ -­ wide slit. Therefore, the resolving power and the intrinsic width of each resolution ele- ment near its central wavelength at 5849 Å are R ∼ 440 and ∼13.3Å, respectively, corresponding to ∼ 680 km s−1 (97). The observing log is available in Table 1. Preprocessing of the 2D images obtained at each retarder plate an- gle and the extraction of the ordinary (o) and extraordinary (e) beams were carried out with standard procedures within Image Reduction and Analysis Facility (IRAF) (98, 99). Wavelength calibration of each individual spectrum was performed separately, with a typical root mean square accuracy of ∼0.20 Å. Following the prescriptions in p(λ)∕p ( λmax ) = exp [ −K ln2( λmax∕λ )] (2) Downloaded from https://www.science.org on November 21, 2025
  • 9.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 9 of 16 (100), we then derived the Stokes parameters and calculated the ob- served polarization degree (pobs) and PA (PAobs) where Q and U denote the intensity (I)–normalized Stokes param- eters. An additional debiasing procedure was applied because the true value of the polarization degree is nonnegative (101) where σp and h denote the1σ uncertainty in pobs and the Heaviside step function, respectively. Following the prescription described in previous work [e.g., (93, 102)], where the wavelength-­dependent in- strumental polarization in the PMOS mode of FORS2 (≲0.1%) was characterized to remain stable over time, this effect was corrected according to the characterization by (103). The low instrumental polarization during the campaign of SN 2024ggi polarimetry is con- sistent with that inferred from the observations of polarized and unpolarized standard stars carried out in each night with observa- tions for our program. Throughout the paper, all spectra and spectropolarimetry data of SN 2024ggi were corrected to the rest frame adopting the helio- centric recession velocity of NGC 3621 of 730 km s−1 [z ≈0.002435; (104)]. Spectropolarimetry of SN 2024ggi obtained from days 1.1 to 267.1 is displayed in figs. S5 to S13. All data are presented in the rest frame and before correcting for the ISP. Principal component de- composition of the SN 2024ggi spectropolarimetry is shown in fig. S14 to better visualize the temporal evolution of the total-­ flux spectra and the polarization spectra projected onto the dominant axis and the orthogonal axis. Polarization across the photoionized features The exceptionally early-­ epoch polarimetry includes the short-­ lived photoionization-­ powered emission lines during the first days of SN 2024ggi. In the first ∼2 days, the total-­ flux emission profiles consist of a prominent emission peak and a weak, broad underlying compo- nent with full width at half maximum intensity of ≈1000to 2000 km s–1 (fig. S15). We also computed the polarized flux density p × fλ across the flash features and found no significant deviation from the ad- jacent continuum. The broad wings are due to scattering by free electrons in the unshocked, photoionized CSM (105–107). The po- larization of the electron-­ scattering wings traces the spatial distri- bution of the associated ionic species. The spectral-­ line-­ specific geometric diagnostics are best derived in the Stokes Q-­U plane by comparing, epoch by epoch, the location of a given spectral line and that of the continuum (25). The slope of the distribution of the data points represents the orientation of the symmetry axis of the feature in question (line or continuum), projected onto the plane of the sky. High-­ionization lines (e.g., O V λ5597) appear only at the earliest phases and are generally thought to form in the relatively inner part of the CSM and close to the shock front, where the highest tem- peratures produce the highest ionization states. In the case of a spherically symmetric shock breakout and the resulting concentric ionization front, their identical shapes would manifest as a single dominant axis in the continuum and for all early-­ time emission lines. In SN 2024ggi (fig. S16), the polarization PAs of the spectral lines with the highest ionization potentials (e.g., O V, χ = 113.9 eV) follow that of the underlying continuum, while other lines such as C IV λ5807 (=64.5 eV) and Hα (=13.6 eV) exhibit distinctly different dominant axes than the continuum. Due to a saturation issue within the rest-­ frame wavelength range of 4630 to 4710 Å that covers the He II λ4686 (χ = 54.5 eV) emission line at day 1.1, this region was excluded from the analysis of the line polarization. Although both Hα and Hβ arise from the recombination to the second excitation level of hydrogen, the transition probability ex- pressed as the form of weighted oscillator strength [log(gf)] of Hα is a factor of ∼5 higher than that of the Hβ. Therefore, higher polariza- tion can be expected for Hα wherever an energy level of 13.6 eV is reached. Compared to Hα, Hβ would mainly form at a much narrower region. The polarization is also weaker and only becomes dominant close to the photosphere, thus effectively tracing the ge- ometry of the ionization front as early as day 1.1. The agreement between the dominant axes of the continuum and the distribution of the high-­ excitation lines on the Q-­ U diagram as presented in Fig. 3 further strengthens the interpretation of the axially symmetric con- figuration of the shock breakout. Portraits of the early-­ phase photo- ionized spectral features are offered in fig. S16. The O V line itself, whose electron-­ scattering wings are likely to arise from the CSM confined to the most energetic shock-­ ionization front, exhibits a relatively clear dominant axis that is similar to that of the continuum. The line polarization behavior is also compatible with the picture inferred from the continuum polarization. As the shock-­ ionized emission preferentially emerges promptly from the less dense re- gions perpendicular to the plane of the CSM disc, the shock would propagate faster toward the perpendicular directions when the ejec- ta have not yet overrun the CSM. Consequentially, the faster shock heats the postshock gas to a higher temperature, thus producing the earliest prolate geometry that is aligned with the less-­ dense regions perpendicular to the CSM plane. In contrast, the denser CSM plane will decelerate the shock more strongly, resulting in a lower post- shock temperature. The lower-­ ionization lines would preferentially be developed in this lower-­ temperature region and occupy a broad range in CSM-­ plane azimuth angle. Modeling the polarization for an expanding envelope Following the general assumptions of the Sobolev approximation [e.g., (108)], we treat the SN atmosphere with a low-­ velocity gradi- ent in its inner region, below some velocity cutoff vcut of a few thou- sand kilometers per second, that radiates as a blackbody and is surrounded by an expanding atmosphere with a significantly larger velocity power-­ law exponent n. The density of the atmosphere at a given time (t) after the explosion and different radial velocities (vr) below and above the layer with vcut are given by respectively. We denote as u and v the two components of vr that are projected onto and perpendicular to the plane of the sky, respec- tively. Therefore pobs = √ Q2 + U2, PAobs = 1 2 arctan � U Q � (3) p= ( pobs − σ2 p pobs ) × h ( pobs −σp ) PA=PAobs (4) ρin(t) ∝ ( t t0 )−2 , ρout ( vr, t ) ∝ ( vcut vr )n × ( t t0 )−2 (5) θ = tan−1 � ∣ u v ∣ � , vr = √ u2 + v2, μ = � � � � �1 − � u vph �2 (6) Downloaded from https://www.science.org on November 21, 2025
  • 10.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 10 of 16 where vph represents the rest-­ frame velocity of the photosphere at a given t. For an atmosphere of free electrons governed by Thomson scattering, the intensities of the electric vectors parallel (Il) and perpendicular (Ir) to the plane of the sky were adopted from equa- tions 122 and 123 of (109). With this, the polarization degree p and the intensity-­ normalized Stokes Q and U parameters can be derived as Here, ϕ is the longitude measured toward the line of sight. Following (108, 110), we calculated the shape of the P Cygni pro- file of the Hα line under the Sobolev approximation. The flux density profile fenv was computed separately for the blue side (v < −vph), the middle region (−vph ≤ v < 0 km s−1 ), and the red side (v ≥ 0 km s−1 ). This prescription assumes a spherical atmosphere established soon after the SN explosion. To account for the effect of asphericity, we introduce a geometric factor A(θ, ϕ). By multiplying by the opti- cal depth calculated for specific line velocities in the rest frame, this function characterizes the directional dependence of the emission. To investigate the overall geometric properties of the line-­ emitting region, we adopted for the sake of simplicity an oblate spatial distri- bution of the optical depth, namely Therefore The polarization is then calculated as The misaligned symmetry axes of the shock breakout and the ejecta-­ CSM interaction With the most plausible scenario suggested by the temporal evolu- tion of the polarization of SN 2024ggi (Figs. 1 and 4; see the “Inter- stellar polarization” section), we expect a 180◦ difference between the PA estimated at stages I and III because the transition from a prolate to oblate geometry must go through a point with zero polar- ization and flip the signs of the Stokes Q-­U parameters. A basic flip in the orientation of the Q and U polarization distribution is illus- trated in the bottom row of fig. S17 for the case when the prolate and oblate components have a common symmetry axis. For this model, the polarization of the electron-­ scattering emitting region is calcu- lated for an expanding envelope (see the “Modeling the polarization for an expanding envelope” section), which can be linearly decom- posed into a “prolate” and an “oblate” component. The former and the latter represent the prompt and the later emission that mainly originate from the directions perpendicular to and within the CSM plane, respectively. On day 2.0, the continuum polarization jumps to its peak, i.e., from [Q, U]day1.1 =[−0.043 ± 0.074%, 0.046 ± 0.077%] to [Q, U]day2.0 = [+0.110 ± 0.075%, 0.381 ± 0.069%] (Fig. 1), computed as the error-­ weighted mean values of more than 3800 to 7800 Å. The continuum polarization subsequently decreases monotonically. We hereby break down the possible configurations of the ejecta and the CSM dis- played in Fig. 4. In Fig. 4A, both the ejecta and the CSM are spheri- cal, so that there will be no net polarization. In Fig. 4B, the shock emerges from the star spherically symmetrically, and the asphericity is entirely due to the CSM. In Fig. 4C, prolate ejecta will lead to a prompt diffusion of photons from a spherical CSM along certain directions. Configurations illustrated by Fig. 4 (B and C) exhibit only one symmetry axis, producing a single dominant axis in the Q-­U diagram (2). The breakout emission would thus emerge prompt- ly toward the direction where a shorter diffusion time is achieved (see the “Schematic evolution of the geometry of the ionization front” section), producing a prolate photosphere as represented by the equal-­ arrival-­ time contour. As a consequence, the dominant axis would shrink monotonically and its orientation remains constant over time until a flip of the signs of Q and U takes place (see the bot- tom row of fig. S17). The blue and green dashed lines in Fig. 2 would also coincide. The fact that we observed two distinctly different axes in Fig. 1 disfavors the schematic scenario presented in Fig. 4B. A similar argument applies to the alternative where the ejecta are aspherical and the CSM is spherically symmetric (Fig. 4C). If an aspherical shock breaks through the surface of the progeni- tor into a nonspherical CSM (Fig. 4D), then the behavior is more complex. The early polarization would also tend to be that of a pro- late structure but aligned with the axes of neither the ejecta nor the CSM. There would be a complex interaction between the ejecta and the CSM, and the polarization tends to show an oblate geometry as the photosphere recedes toward the H-­ rich envelope of the SN ejec- ta. At later times when the CSM becomes transparent, the polariza- tion should probe the geometry of deeper layers of the ejecta. This qualitative behavior is reflected in our observations. The gradually rotating distribution of the polarization of SN 2024ggi in the Stokes Q-­U plane from days 1.1 to 6.9, which can only be disclosed by the time-­ resolved data, suggests a misalignment between the aforemen- tioned symmetry axes (see the top row of fig. S17). Consequently, the continuum polarization paints a “loop-­ like” trajectory over time (Fig. 2). Models illustrating the gradual rotation of the direction of the centers of the data cloud on the Stokes Q-­U plane over time, assum- ing one prolate (blue) and one oblate (red) emission component each, are presented in fig. S17. The top and the bottom rows display the two symmetry axes misaligned by ∼20◦ and aligned scenarios, respectively. The presented models adopt vcut = 1000 km s−1 , a den- sity index of n = 1.5, and a viewing angle of θ0 = 90◦ and ϕ0 = 70◦ . Coefficients that are arbitrarily assigned to describe the relative strengths of the prolate and the oblate components (i.e., [cp, co]) for the four epochs are [0.5, 0.0], [0.4, 1.2], [0.2, 1.6], and [0.1, 2.0]. We note that the aim of fig. S17 is to provide a schematic illustration of the polarization time evolution for the cases of a time-­ variant and a fixed axisymmetry, as presented in the top and the bottom rows, respectively. The continuum polarization of SN 2024ggi draws a loop-­ like trajectory (Fig. 2), suggesting that the ejecta-­ CSM interac- tion exhibits a different geometry compared to that measured at the shock breakout and the H-­ rich ejecta. I0(μ)=Ir(μ)+Il(μ), p= Ir(μ)−Il(μ) Ir(μ)+Il(μ) , Q =pcos(2ϕ), U =psin(2ϕ) (7) x2 + y2 a2 + z2 c2 = 1 (8) A(θ, ϕ) = [ cos(θ)2 sin(ϕ)2 a2 + sin(θ)2 sin(ϕ)2 a2 + cos(ϕ)2 c2 ]− 1 2 (9) I = fenvA(θ, ϕ) (10) q = Ipcos2ϕsin2θ (11) u = Ipsin2ϕsin2θ (12) Downloaded from https://www.science.org on November 21, 2025
  • 11.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 11 of 16 Schematic evolution of the geometry of the ionization front As a simple representation of the aspherical CSM profile that would produce the proposed prolate-­ to-­ oblate geometric transformation, outside the expanding early ejecta, we adopt a spherical CSM enve- lope that exhibits density variation throughout the azimuth, where the highest density is achieved near the denoted CSM plane. We as- sume that the CSM is centered on the SN and quickly swept up by the matter ejected by the SN explosion. The time between the emis- sion of a photon from the surface of the SN ejecta and its diffusion out of the surrounding CSM can be estimated for any point at the outer CSM boundary as where =0.34 cm2 g−1 gives the opacity,ρ(r, θ) represents the number density of the medium at distance r and viewing angle θ,ΔR denotes the diffusion length from the ejecta to the location (r, θ) in the CSM, and c is the speed of light. The density profile of the CSM can be described as where ρmin indicates the minimum density of the CSM at a latitude angle of ϕ and n denotes the power-­ law index of the radial density distribution. We estimate a characteristic isodiffusion-­ time con- tour by adding up the distances between a given point of the CSM and all points on the ejecta surface and dividing the lengths of each path by the associated photon travel speed. The former counts only the line segments that connect the given point on the outer boundary of the CSM to the ejecta surface, while the latter is dependent on the number density of the CSM where the photon is traveling through (Fig. 4). The schematic isodelay contour takes into account the asphericity of the ejecta as well as a disk-­ concentrated configuration of the CSM. The isodiffusion-­ time surface can then be sketched over the entire CSM surface. The isodiffusion-­ time surface can then be sketched over the entire CSM surface. When the shock propagates outward and progressively runs into the CSM, the shock breakout can be seen toward the less-­ dense regions as hinted by the dominant axes measured across the continuum, which aligned with the photoionized features (Fig. 4). For a spherical CSM embedding a spherical shock breakout, pho- tons will emerge from the CSM isotropically; thus, no polarization would be expected as a consequence of the persistent spherical symmetry (Fig. 4A). Any deviation from spherical symmetry in the CSM or the ejecta would produce an aspherical isophoton-­ travel-­ time surface. Examples for the former case with a less-­ dense CSM toward the perpendicular directions and the latter case with a stretched ejecta are given in Fig. 4 (B and C), respectively. When both configurations are aspherical and misaligned by a certain an- gle, the prolate geometry is manifested as an interplay between the internal shock breakout and the external CSM density distribution (Fig. 4D). On day 1, lower-­ excitation lines can be found over a wide range in azimuth. The emitting region traced by integrating the reciprocal of the diffusion time calculated over the SN ejecta exhibits a peanut shape (Fig. 4D). For this configuration, the sym- metry axis connects the perpendicular directions, which have the lowest CSM density. Polarization of the prolate and oblate geometric configurations We use the 3D Monte Carlo polarization simulation code (111) for electron-­ scattering–dominated photospheres to estimate the de- viation from spherical symmetry of SN 2024ggi at various phas- es. Following the prescription provided by (112), this technique has been implemented in many SN polarization calculations (41, 113–115). We discretize the space by a 100by100by100 3D grid with uniform density (ρ) and electron-­ scattering opacity (κes). Unpolarized Monte Carlo photon packets are emitted from an electron-­ scattering–dominated photosphere with an even surface brightness, where the Stokes parameters of each photon packet are initialized as For different ellipsoidal envelope configurations, Eq. 8 can be re- written in cylindrical coordinates as where we introduce the axis ratio (A = a∕c), with A < 1 and A > 1 representing the prolate and the oblate configurations, respectively. The ellipsoidal envelope along radial isodensity surfaces can be expressed as where In all calculations, we adopt a power-­ law index n = 12 (61) con- sidering the rather dense and steep density profile of the outer layers of the ejecta within the first few days after the SN explosion. The maximum photosphere radius (Rph) is determined by the position where the electron-­ scattering optical depth (τ) along the semimajor axis of the ellipsoidal envelope equals unity, where Here, ξout denotes the outer boundary of the ellipsoidal envelope. Each photon packet is assigned a random optical depth τ = −ln(z) (0 < z ≤ 1) during its propagation, indicating that scattering will oc- cur whenever an electron packet reaches this optical depth while traversing the medium. Each scattering would alter the Stokes pa- rameters of the photon packet through multiplying the rotation [L(ϕ)] and the phase [R(Θ)] matrices where Iin and Iout denote the set of Stokes parameters in the rest frame before and after a certain scattering event, respectively. Terms i1 and i2 denote the angles on the spherical triangle as defined in (116). The rotation matrix yields td = κρ(r, θ)ΔR2 c (13) ρ(r, θ) = ρ0r−n [ ∣cos(θ)∣ + ρmin ] (14) I = ⎛ ⎜ ⎜ ⎜ ⎝ I Q U ⎞ ⎟ ⎟ ⎟ ⎠ = ⎛ ⎜ ⎜ ⎜ ⎝ 1 0 0 ⎞ ⎟ ⎟ ⎟ ⎠ (15) r2 A2 + z2 = c2 (16) ρ(ξ) = ρ0ξ−n (17) ξ = √ r2 A2 + z2 (18) τ = ξout ∫ Rph κesρ(ξ)dz = 1 (19) Iout = L ( π−i2 ) R(Θ)L ( −i1 ) Iin (20) Downloaded from https://www.science.org on November 21, 2025
  • 12.
    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 12 of 16 and the phase matrix in the scattering frame can be written as where Θ is the scattering angle in the scattering plane, which has been chosen by sampling its probability distribution function ( fpdf) Therefore,i1 andcosΘ can be sampled from a uniform distribution The random seeds ξ1 and ξ2 are chosen from a uniform distribu- tion on the interval [0, 1]. After each scattering, the photon packet will travel along a different direction determined by i1 and cosΘ. This process continues until the photon packet escapes the compu- tational boundary and will be collected in different viewing angle (θ) bins depending on its final direction �⃗ n. The continuum polariza- tion of prolate and oblate photospheres seen from different viewing angles θ is presented in figs. S18 and S19, respectively. We remark that the purpose of these calculations is to provide a rough quantitative justification of the inferred bipolar shock break- out and the subsequent prolate-­ to-­ oblate geometric transformation. The latter is also naturally reproduced by the calculations for a pro- late (days 1.1 and 2.0, fig. S18) and an oblate (days 5.8 to 10.9, fig. S19) configuration. A schematic of the temporal evolution of the emission component as approximated by the combination of these two is also illustrated in fig. S17. Within the optically thick regime (τ >1), the peak of the polarization degree decreases as the optical depth increases until it reaches its asymptotic value at τ ≳ 4 [figure 1 of (113)]. Therefore, the estimated ellipticities yield a lower bound of the departure of the photosphere from spherical symmetry. Polarization across the Balmer and He II lines The systematically blueshifted Hα profile with emission peak veloci- ties of ~–3000 to −2000 km s−1 from days 10.9 to 33.0 [fig. S20, see also (51, 52)] suggests a rather steep radial density structure of the H-­ rich envelope of SN 2024ggi. This can be understood as an enhanced occultationoftherecedingsideoftheejecta,namely,extinctedbygason the approaching side, leading to a suppressed emission toward the red end of the emission profile (117). Furthermore, a rather steep density gradient during the early recombination phase is expected (61). Under such a high-­ density regime, the Balmer emission is driven by a combi- nation of electron scattering and collisional bound-­ bound excitation. The line polarization profile may thus be formed due to a combined effect of the aspherical limb of the photosphere and the line excitation (118). The latter may lead to an uneven blocking of the underlying photosphere that induces polarization. The universal symmetry axis shared by the prolate shock breakout and the oblate H-­rich envelope further strengthens the proposal of an aspherical explosion of SN 2024ggi, with a well-­ defined symmetry axis. Additionally, our monitoring of the polarization of SN 2024ggi until day 80.8 shows several distinct temporal trends (fig. S21). Por- traits of the spectral evolution of the Hα and Hβ lines are provided in fig. S16. First, a dominant axis with 2PA+80.8d = 37◦ .0+5◦.9 −5◦.1 can be identified (Fig. 1). A similar PA is measured after excluding the He I and Balmer lines, 2PA = 34◦ .5+4◦.6 −5◦.2 (fig. S1). Second, the He I λ5876 line has emerged, the polarization of which tightly follows a well-­ defined dominant axis of 2 PA2PAHeI = + 19◦ .0+4◦.9 −4◦.7 that is∼ 33◦ off from the symmetry axis shared by the earliest prolate and the later oblate configurations (Fig. 5). A rather small misalignment between the well-­ defined dominant axis of the ejecta and that of He I λ5876 is inferred, 2PA+80.8d − 2PAHeI ≈ 16◦ . The presence of both strong Balmer and He II lines and their different dominant axes, therefore, suggests that the mixing of helium into the still optically thick H-­ rich envelope exhibits a different symmetry axis. Determining the He-­ rich layer geometry requires spectropolarime- try after the photosphere recedes through the H-­ rich envelope, the inner ejecta exhibit a symmetry axis as indicated by the dominant axis fitted to the continuum at day 80.8, which is misaligned with the outermost H-­ rich envelope as defined by a prolate-­ to-­ oblate geometry transformation since the shock breakout. A more complicated inner geometry can be inferred from the deviations from axial symmetry in moderate scales as indicated by the departure from the dominant axis at day 80.8 (Fig. 1, bottom right; and fig. S2, right). This is also compatible with the main features of the neutrino-­ driven explosion that manifests on a large scale: bubbles and fractured structures (119). Fallback-­ induced accretion may be involved in reshaping the inner geometry of the ejecta (12, 120). Supplementary Materials This PDF file includes: Supplementary Text Figs. S1 to S21 References REFERENCES AND NOTES 1. T. D. Lee, S. Drell, Particle physics and introduction to field theory. Phys. Today 34, 55–56 (1981). 2. L. Wang, J. C. Wheeler, Spectropolarimetry of supernovae. Ann. Rev. Astron. Astrophys. 46, 433–474 (2008). 3. S. J. Smartt, J. J. Eldridge, R. M. Crockett, J. R. Maund, The death of massive stars -­I. Observational constraints on the progenitors of Type II-­ P supernovae. Mon. Not. R. Astron. Soc. 395, 1409–1437 (2009). 4. S. J. Smartt, Observational constraints on the progenitors of core-­ collapse supernovae: The case for missing high-­ mass stars. Pub. Astron. Soc. Aust. 32, e016 (2015). 5. W. Li, J. Leaman, R. 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Acknowledgments: We are grateful to the European Organisation for Astronomical Research in the Southern Hemisphere (ESO) for the allocation of Director’s Discretionary Time (DDT; program ID 113.27R1; PI, Y.Y.) that enabled this study at ESO’s La Silla Paranal Observatory. We express our appreciation to the staff of the Paranal Observatory for proficient and motivated support of this project in service mode, particularly the prompt evaluation of our submission of the DDT proposal, followed by the scheduling of the requested observations. These efforts resulted in the earliest polarimetric observation of any transient. A.V.F. is grateful for the hospitality of the Hagler Institute for Advanced Study as well as the Department of Physics and Astronomy at Texas A&M University during part of this investigation. Funding: Y.Y.’s research is partially supported by the Tsinghua University Dushi Program. L.W. acknowledges the US National Science Foundation (NSF) for support through award AST-­ 1817099. X.W. is supported by the National Natural Science Foundation of China (NSFC grants 12288102 and 12033003), the Newcorner Stone Foundation, and the Ma Huateng Foundation. J.C.W. is supported by NSF grant AST1813825. A.G.-­ Y.’s research is supported by the ISF GW excellence center, an IMOS space infrastructure grant and BSF/Transformative and GIF grants, as well as the André Deloro Institute for Space and Optics Research, the Center for Experimental Physics, a WIS-­ MIT Sagol grant, the Norman E Alexander Family M Foundation ULTRASAT Data Center Fund, and Yeda-­ Sela; A.G.-­ Y. is the incumbent of the Arlyn Imberman Professorial Chair. P. Hoeflich acknowledges support from NSF grant AST-­ 1715133 (“Signatures of type Ia supernovae, new physics, and cosmology”). S.S. is partially supported by LBNL Subcontract 7707915. Financial support was provided to A.V.F.’s supernova group at U.C. Berkeley by the Christopher R. Redlich Fund, S. Nelson, S. Nagaraj, L. Noll, S. Otellini, G. Bengier, C. Bengier, C. Winslow, S. Winslow, S. Robertson (S.S.V. is a Steven Nelson Graduate Fellow in Astronomy, K.C.P. was a Nagaraj-­ Noll-­ Otellini Graduate Fellow in Astronomy, and Y.Y. was a Bengier-­ Winslow-­ Robertson Fellow in Astronomy), and many other donors. The work of A.C. is supported by NOIRLab, which is managed by the Association of Universities for Research in Astronomy (AURA) under a cooperative agreement with the NSF. Author contributions: Conceptualization: Y.Y., X. Wen, L.W., D.B., J.C.W., A.V.F., J.M., S.S., P.H., X.Wang, F.P., and S.S.V. Methodology: Y.Y., X. Wen, L.W., X. Wang, M.B., P.H., G.L., J.M., and F.P. Investigation: Y.Y., X. Wen, L.W., A.V.F., P.H., J.M., and F.P. Visualization: Y.Y., X. Wen, and L.W. Supervision: Y.Y., L.W., J.C.W., A.V.F., X. Wang, and F.P. Writing—original draft: Y.Y., X. Wen, L.W., and X. Wang. Writing—review and editing: Y.Y., X. Wen, L.W., D.B., J.C.W., A.V.F., A.G.-­ Y., J.M., X. Wang, C.A., M.B., A.C., H.G., P.H., D.M., K.C.P., and S.S.V. Validation: Y.Y., X.Wen, L.W., J.C.W., X. Wang, J.M., and F.P. Formal analysis: Y.Y., X. Wen, L.W., X. Wang, and S.Y. Funding acquisition: Y.Y., L.W., A.V.F., and X. Wang. Data curation: Y.Y., X. Wen, L.W., and J.M. Software: Y.Y., X. Wen, and L.W. Project administration: Y.Y. and X. Wang. Resources: Y.Y., X.Wen, L.W., and S.S.V. Competing interests: The authors declare that they have no competing interests. Data and materials availability: All data needed to evaluate the conclusions in the paper are present in the paper and/or the Supplementary Materials. All data presented in this study are based, in part, on observations collected at the European Organisation for Astronomical Research in the Southern Hemisphere under ESO program 113.27R1 (PI, Y.Y.) and can be accessed via Downloaded from https://www.science.org on November 21, 2025
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    Yang et al.,Sci. Adv. 11, eadx2925 (2025) 12 November 2025 S c i e n c e A d van c e s | R e s e ar c h A r t i c l e 16 of 16 https://archive.eso.org/cms.html. IRAF is distributed by the National Optical Astronomy Observatories, which are operated by the Association of Universities for Research in Astronomy Inc., under cooperative agreement with the NSF. PyRAF, PyFITS, and STSCI_ PYTHON are products of the Space Telescope Science Institute (STScI), which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-­ 26555. This research has made use of NASA’s Astrophysics Data System Bibliographic Services, the SIMBAD database, operated at CDS, Strasbourg, France, and the NASA/IPAC Extragalactic Database (NED), which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with NASA. Submitted 7 March 2025 Accepted 9 October 2025 Published 12 November 2025 10.1126/sciadv.adx2925 Downloaded from https://www.science.org on November 21, 2025