arXiv digest

02 September 2026

Submission window: 2026-08-31 14:33 → 2026-09-02 06:33 UTC (40.0 h, v1 only)

1500 listings scanned across 15 categories · 337 unique v1 submissions in window · 33 passed the keyword pre-filter · 13 in the digest (3×5, 4×4, 6×3) + 2 bonus

Relevant papers

Leptogenesis and baryogenesis1

Matthew Citron, Federico Redi, Ryan Schmitz

GRENDEL proposes a scintillator-bar detector in the PX56 gallery above CMS, covering $0.2$-$15$ GeV long-lived particles with 3 ab$^{-1}$. The heavy-neutral-lepton benchmark is the interesting one here: GeV-scale sterile states in the neutrino portal, exactly the mass window where low-scale seesaw and leptogenesis variants live, reached without civil engineering.

hep-ex
Abstract

Long-lived particles are a generic prediction of Standard Model extensions that address the hierarchy problem, the origin of neutrino masses, the baryon asymmetry of the Universe, and the nature of dark matter. Despite the breadth of theoretical motivation, neutral long-lived particles in the GeV-scale mass range remain difficult to probe at the LHC main detectors, where trigger limitations and challenging backgrounds curtail sensitivity over a wide range of lifetimes. We propose GRENDEL (GalleRy ExperimeNt for Decays of Exotic LLPs), a dedicated detector to be installed in the PX56 drainage gallery at CMS Point 5. GRENDEL will exploit the substantial rock and concrete between the detector and LHC interaction point as passive shielding in addition to employing active background rejection. Located approximately 22 m above the interaction point and running largely transverse to the beam, GRENDEL will span around 110 m and cover the central region $|η| < 0.6$. GRENDEL will make use of extruded scintillator bars to achieve competitive sensitivity with other proposed detectors while requiring minimal infrastructure, and without the need for civil engineering. We present the physics case, detector concept, and projected sensitivities to heavy neutral leptons, dark scalars, and axion-like particles covering the $0.2-15$ GeV mass range with 3 $\mathrm{ab}^{-1}$ of HL-LHC data. The benchmarks span the neutrino, scalar, and axion portals, with production through exotic Higgs decays, $B$- and $D$-meson decays, and $W/Z$ decays.

Neutrino mass and 0νββ4

Prokash Pegu, Chandan Duarah

Exact $\mu$-$\tau$ reflection symmetry imposed at $\Lambda_{\mu\tau}=10^{14}$ GeV, then run down with the one-loop RGE in the minimal seesaw, where the massless lightest state leaves a single Majorana phase. Analytic low-energy expressions plus the $\tan\beta$ scaling of the breaking give a clean handle on how much of the observed $\theta_{23}$ deviation is radiative rather than structural.

hep-ph
Abstract

The $μ$-$τ$ reflection symmetry predicts a maximal atmospheric mixing angle, $θ_{23}=π/4$, and Dirac CP phase, $δ=π/2$ or $3π/2$. Recent global analyses indicate small but significant deviations from these predictions, suggesting that the symmetry is approximate and requires breaking. Motivated by this, we study the breaking of $μ$-$τ$ reflection symmetry induced by radiative corrections in the minimal seesaw framework, assuming the symmetry to be exact at the high-energy seesaw scale $Λ_{μτ}=10^{14}~\mathrm{GeV}$. A distinctive feature of the minimal seesaw is that one light neutrino remains massless, leaving only one physical Majorana CP phase. Starting from the integral solution of the one-loop RGE for the effective Majorana neutrino mass matrix, we derive analytical expressions for the low-energy neutrino parameters at $Λ_{\mathrm{EW}}=172.76~\mathrm{GeV}$ in terms of their high-energy counterparts. We then numerically estimate the low-energy parameters within the MSSM, taking $Λ_s=1~\mathrm{TeV}$ and $\tanβ=10$, $30$ and $50$. The analysis is performed separately for Normal Order (NO) and Inverted Order (IO). We find that the predicted neutrino masses and mixing parameters are consistent with current experimental data in both scenarios. The sum of neutrino masses, Jarlskog invariant $J$, and effective Majorana mass $|\langle m\rangle_{ee}|$ also satisfy current experimental constraints. Finally, we estimate the amount of deviations of the low-energy neutrino parameters from their high-energy values and investigate their dependence on $\tanβ$. We find that the magnitude of these deviations increases with increasing $\tanβ$ for both NO and IO.

Ben Allanach, Prabhoda Chandra Sarjapur

A gauged $U(1)_{3B_3-L_e-2L_\mu}$ built for $b\to s\ell\ell$ turns out to fix the neutrino sector too: anomaly-cancelling right-handed neutrinos, a Froggatt-Nielsen hierarchy, and a clockwork sector supplying the extra suppression needed to fit oscillation data with $O(1)$ couplings. A concrete test of whether one family-dependent abelian symmetry can carry both the quark and the lepton flavour puzzle.

hep-ph
Abstract

The Plan B Model was proposed to improve the global fit quality of the Standard Model to observables involving the $b\rightarrow s \ell^+ \ell^-$ transition whilst simultaneously providing a qualitative explanation for the small magnitudes of some off-diagonal quark mixing matrix entries. The model is based on applying an additional spontaneously broken $U(1)_{3B_3-L_e-2L_μ}$ gauge symmetry to the Standard Model with family-dependent fermion charges. Right-handed neutrino fields are present and cancel gauge anomalies. We investigate the implications of the Plan B Model for neutrino masses and mixing angles. The model naturally suggests a Froggatt-Nielsen mechanism for neutrino masses and mixing hierarchies. We find that an implementation of the Froggatt-Nielsen mechanism works when additional suppression is present from a clockwork mechanism. We show how current neutrino oscillation data can be fit with order unity fundamental dimensionless couplings.

Jianlong Lu

Recasts the type-I seesaw as a proximity effect in the active two-point kernel, with the sterile sector entering through a Nambu-Gorkov embedding self-energy. The moment towers reproduce the Weinberg operator and the dimension-six kinetic term, and Hankel positivity yields matrix Cauchy-Schwarz inequalities linking LNV and LNC data. A genuinely new inverse-problem angle on reconstructing the heavy sector.

hep-phmath-ph
Abstract

We formulate the type-I seesaw as a relativistic fermionic proximity effect in the exact active-sector two-point kernel. Active neutrinos have no renormalizable gauge-invariant Majorana mass and couple by lepton-number-conserving Yukawa hybridization to a sterile Majorana pairing kernel. Integrating out the sterile fields gives a nonlocal Nambu-Gorkov embedding self-energy. In a sterile Takagi basis its anomalous and normal flavor responses are $\mathcal{A}(Q^2)=\sum_i M_i y_i y_i^T/(Q^2+M_i^2)$ and $\mathcal{B}(Q^2)=\sum_i y_i y_i^\dagger/(Q^2+M_i^2)$, respectively. Their low-energy expansions generate correlated lepton-number-violating and lepton-number-conserving moment towers. The leading moments reproduce the Weinberg coefficient and the dimension-six kinetic operator. Both towers share one sterile mass set; its positive normal support supplies a common annihilator, although anomalous residues can cancel at exact degeneracy. We prove normal block-Hankel positivity and positivity of a dimensionally rescaled mixed Nambu-Hankel sequence. The latter gives matrix Cauchy-Schwarz inequalities between lepton-number-conserving and lepton-number-violating data and can reveal paired directions hidden by a degenerate normal residue. Isolated nondegenerate pole residues satisfy an additional nonlinear compatibility identity. These results yield tree-level EFT consistency tests and a matrix-pencil reconstruction of visible pole and aggregate-residue data; selecting a unique ultraviolet Lagrangian requires additional information about sterile-basis multiplicities. An exact one-generation example distinguishes the static Schur-complement kernel from the physical Takagi pole mass. The proximity structure applies without a Fermi surface or condensate, and Nambu doubling introduces no new physical degrees of freedom.

Y. Omori, W. L. K. Wu, Y. Nakato et al.

SPT-3G D1 lensing at $2\%$ amplitude precision; combined with CMB$_\mathrm{SPA}$ and DESI DR2 BAO it gives $\sum m_\nu < 0.072$ eV at 95% C.L. The bound relaxes relative to earlier work because this lensing measurement sits closer to DESI, which also softens the curvature and $(w_0,w_a)$ preferences. Still squeezes the inverted ordering hard.

astro-ph.CO
Abstract

We present a map of the cosmic microwave background (CMB) lensing potential reconstructed from observations taken during the 2019 and 2020 seasons with the third-generation camera on the South Pole Telescope (SPT), covering the $1500\,{\rm deg}^{2}$ SPT-3G Main field, referred to as the SPT-3G D1 dataset. From the multi-frequency temperature and polarization data, we reconstruct the CMB lensing field using a quadratic estimator that jointly accounts for the $T$, $E$, and $B$ fields and their covariance. The resulting lensing map is dominated by polarization information for $L \lesssim 600$ and provides the highest signal-to-noise measurement per mode reported to date. With nuisance parameters fixed to their best-fit values, we measure a lensing amplitude consistent with unity at $2\%$ precision relative to the $Λ$CDM model that best fits the combined Planck, ACT DR6, and SPT-3G D1 $TT/TE/EE$ likelihoods (${\rm CMB}_{\rm SPA}$). We further measure the structure-growth parameter $σ_{8}Ω_{\rm m}^{0.25}$ to be $0.6046\pm0.0096$ from the SPT-3G D1 lensing spectrum alone and $0.6020\pm0.0084$ when combined with ACT DR6 and Planck PR4 CMB lensing. By further combining this with ${\rm CMB}_{\rm SPA}$ and the latest DESI DR2 BAO data, we obtain $\sum m_ν < 0.072\,\mathrm{eV}$ (95% C.L.) when allowing the neutrino mass to vary within $Λ$CDM. Compared with previous work, the better agreement of our measurement with DESI DR2 BAO yields both this relaxed upper bound and reduced ($\mathord{\sim}2σ$) preferences for nonzero spatial curvature and for deviations of $(w_0,w_a)$ from the $Λ$CDM expectation. When we combine CMB lensing with the DES Y3 3$\times$2pt analysis, we obtain $S_{8}=0.811\pm0.011$, corresponding to a $1.4\%$ constraint on the late-time clustering amplitude. This precision is competitive with that obtained from the primary CMB within $Λ$CDM.

Oscillations and experiments4

Chayanit Asawatangtrakuldee, Albert De Roeck

Status review of FASER and SND@LHC: first collider observation of neutrino interactions, charged-current cross sections, flavour separation, and the HL-LHC outlook. Fills the TeV gap between accelerator beams and atmospheric neutrinos, where the $\nu_e$/$\nu_\tau$ flux is dominated by heavy-flavour decays and cross-section systematics feed straight back into oscillation analyses.

hep-ex
Abstract

High energy neutrinos are copiously produced in proton-proton collisions at the Large Hadron Collider (LHC), located at CERN, near Geneva, Switzerland. In particular, a large neutrino flux is expected in the far-forward direction. This flux is concentrated near the beam axis, reaches energies up to the TeV scale, and for electron and tau neutrinos can be dominated by heavy flavour decays at the highest energies. These features open a new experimental window for studying neutrino interactions with dedicated forward detectors, in an energy range beyond the reach of traditional accelerator-based neutrino experiments. The new FASER and SND@LHC experiments reported the first direct observations of neutrino interactions at a hadron collider using the first data from Run 3, which started in 2022. Since then, the programme has advanced to the first measurements, including charged-current neutrino-nucleon cross sections and the detection of different neutrino flavours. This article describes the forward neutrino flux at the LHC, the acceptance and detector concepts of the Run 3 experiments, and summarises the current status of collider neutrino measurements. It also discusses prospects for extending this neutrino programme towards the HL-LHC era. The collected data will also provide constraints on very forward hadron production, and enable searches for feebly interacting particles.

William Gyory, Igor A. Shovkovy

Urca neutrino emission from magnetized dense quark matter with Landau quantization of both quarks and electrons. Phase-space restriction produces Shubnikov-de Haas oscillations, resonant spikes, and near-complete quenching above $|eB| \gtrsim 6\mu_e\mu_u$. Directly relevant for compact-star cooling curves and for the anisotropy of the emitted neutrino momentum.

hep-phastro-ph.HEnucl-th
Abstract

Using first-principles field-theoretic methods, we investigate neutrino emission from strongly magnetized dense quark matter under conditions relevant to compact stars. We account for Landau-level quantization of both electron and quark states and show that it strongly modifies the kinematics of Urca processes. In particular, quark quantization restricts the available phase space in which both quark and electron energies can simultaneously lie near their respective Fermi surfaces. At moderately strong magnetic fields, before pronounced quark quantization sets in, the emission rate tends to increase on average with increasing field strength. In the regime of very strong fields, however, the increasingly restricted phase space first gives rise to Shubnikov--de Haas-type oscillations and then to resonance-like spikes near a discrete sequence of Urca-resonant magnetic field values, separated by regions of strong suppression. Finally, the emission rate becomes nearly completely quenched once $|eB| \gtrsim 6μ_{e}μ_{u}$, corresponding to approximately $B\gtrsim 1.5\times 10^{19}~\mbox{G}$ for the representative set of model parameters considered. We also find significant anisotropy in the longitudinal momentum emission near the Urca-resonant magnetic field values.

Thong T. Q. Nguyen, Carlos Blanco, Tim Linden

First computation of solar capture and evaporation for spin-dependent dark matter-neutron scattering, using odd-neutron isotopes in the standard solar model. Neutrino and $\gamma$-ray limits beat direct detection for several annihilation channels, and long-lived mediators push the reach below the neutrino fog — a reminder that neutrino telescopes remain competitive DM detectors.

hep-phastro-ph.HEastro-ph.SR
Abstract

The Sun has long served as a natural dark matter detector, capturing halo particles that scatter with solar nuclei and electrons and subsequently produce indirect signals from dark matter annihilation that can be probed by either neutrino or $γ$-ray instruments. Previous efforts have computed cross-section constraints for dark matter scattering with electrons, as well as spin-independent and spin-dependent dark matter-proton scattering. However, the spin-dependent dark matter-neutron scattering scenario has been neglected, despite its importance in direct detection. For the first time, we compute the capture and evaporation rates for spin-dependent dark matter-neutron scattering in the Sun, including odd-neutron isotope targets in the current standard solar model. Comparing the predicted annihilation signals against current neutrino and $γ$-ray observations, and projecting the reach of upcoming detectors, we find that solar constraints exceed direct detection limits for several annihilation channels. For models in which the dark matter annihilates into long-lived mediators, these constraints can extend below the neutrino fog.

Alan Salcedo-Gomez, Marco Stein Muzio, for the ARA Collaboration

First array-wide ARA diffuse search, 2013-2023, with rebuilt noise, antenna-response and lepton-propagation modelling. Either the first in-ice radio UHE candidates or the strongest limits above a few EeV — and either way it fixes the analysis template that RNO-G and IceCube-Gen2 Radio will inherit.

astro-ph.HEastro-ph.IM
Abstract

The Askaryan Radio Array (ARA) is an ultrahigh energy (UHE) neutrino detector at the South Pole that searches for impulsive broadband radio signals from neutrino-induced particle showers in glacial ice. ARA consists of five autonomous stations with receiving antennas deployed up to 200 m deep and has accumulated the largest livetime of any in-ice radio array. We present the first array-wide diffuse UHE neutrino search using data collected from January 2013 to December 2023, incorporating improved detector characterization and simulation, including data-driven noise and electronics models, revised antenna responses, and updated neutrino interaction and lepton propagation modeling, within a unified framework for event processing, background rejection, and cut optimization across independently operating stations. This search is expected either to identify the first UHE neutrino candidates observed by an in-ice radio detector or to set the most stringent UHE neutrino diffuse flux limits above a few EeV, while informing analysis strategies for under-construction and future radio arrays, such as RNO-G and IceCube-Gen2 Radio.

Astroparticle physics and cosmology1

R. Abbasi, M. Ackermann, J. Adams et al.

Time-dependent and stacked IceCube search over 89 X-ray and optical/UV-selected tidal disruption events, jetted and non-jetted separately. No excess; upper limits on the TDE contribution to the diffuse astrophysical flux under a standard-candle assumption. Narrows the transient-source budget that any explanation of the diffuse spectrum has to respect.

astro-ph.HE
Abstract

Tidal disruption events (TDEs) are theorized to produce high-energy neutrinos through photohadronic interactions between accelerated protons and multi-wavelength photons in the accretion disk and outflows. Detecting these neutrinos would provide insight into the dynamics of TDEs. Taking advantage of the recent increase in observed TDEs from wide field-of-view telescopes, we conduct a dedicated search for neutrinos coincident in optical/UV and X-ray wavelengths. We searched for neutrino emission from 89 TDEs selected based on X-ray and optical/UV observations using time-dependent likelihood analysis methods in two parts. First, we searched for emission from individual sources, where we fit the time window of expected neutrino emission. Second, we performed a study of jetted and non-jetted TDE subpopulations using a stacking search with a fixed one year time window. No significant neutrino excess was observed in either search. We set upper limits to the contribution of jetted and non-jetted TDEs detected in optical/UV and X-ray wavelengths to the diffuse astrophysical neutrino flux assuming TDEs are standard candles.

Other relevant work3

John Ellis, Tony Gherghetta, Kunio Kaneta et al.

Radiative corrections to Starobinsky-like no-scale supergravity inflation, with the inflaton-matter couplings required for reheating. MSSM-sector corrections are negligible, but Planck data constrain GUT bilinear couplings, vevs and gauge-boson masses directly. A rare case where CMB observables bound the unification-scale superpotential rather than the other way round.

hep-phastro-ph.COhep-th
Abstract

We consider the effects of radiative corrections in Starobinsky-like models of inflation, concentrating on models of inflation formulated in N=1 no-scale supergravity. Inflaton couplings to matter fields are necessary for reheating and these have an impact on loop corrections to the inflaton potential. Whilst corrections due to the supergravity couplings of the inflaton to Standard Model (MSSM) fields are negligible, we use {\it Planck} data to obtain interesting constraints on GUT bilinear couplings, vevs, and gauge boson masses that could be sharpened by future CMB measurements.

Carlos Henrique de Lima, David McKeen, Afif Omar et al.

Mono-photon $e^+e^-\to\gamma\nu\bar\nu$ at Belle II reaches $3.6\%$ on the neutrino-sensitive effective weak mixing angle, and polarized beams (Chiral Belle) split neutral- from charged-current contributions, probing the chiral structure of the neutrino gauge couplings independently. Same process sets the neutrino fog for dark-boson searches above 1 ab$^{-1}$.

hep-phhep-ex
Abstract

The mono-photon process $e^+e^- \to γ+\mathrm{invisible}$ at Belle II probes both invisible new states and the electroweak couplings of neutrinos. In this work, we study the process $e^+e^- \to γν\barν$, finding that Belle II with the full expected dataset can determine the neutrino-sensitive effective weak mixing angle to a 3.6$\%$ relative statistical precision, competitive with existing neutrino probes at other energy scales. Polarized beams, as proposed for the Chiral Belle upgrade, separate the neutral- and charged-current contributions and provide independent access to each, giving a handle on the chiral structure of the neutrino gauge interactions. The same process is an irreducible background to dark boson searches, producing a neutrino fog once the luminosity exceeds 1 ab$^{-1}$.

Tejas Prasanna, Kyle Parfrey, Brian D. Metzger et al.

GRMHD proto-magnetar disks: magnetic channeling and centrifugal acceleration reshape the ejecta composition, and neutrino irradiation is what decides whether the third r-process peak survives. Concrete demonstration that the weak-interaction rates set $Y_e$ in the outflow — the same physics that controls neutrino transport in the collapsar and merger environments.

astro-ph.HE
Abstract

Newly formed, rapidly spinning, strongly magnetized neutron stars ("millisecond proto-magnetars") can arise in collapsars, neutron star mergers, or white-dwarf accretion-induced collapse, and are often surrounded by compact accretion disks. At accretion rates of ~0.1 Msun/s, these disks can become neutron rich and power outflows capable of rapid neutron-capture (r-process) nucleosynthesis. In Paper I, we presented axisymmetric GRMHD simulations of accretion onto such proto-magnetars and showed how the disk-magnetosphere interaction regulates jet power, variability, and neutron star torques. Here we use the same simulations to study how this interaction regulates the mass, composition, and velocity of the baryon-rich ejecta, comparing proto-magnetar models to otherwise similar black hole accretion. A magnetized neutron star qualitatively changes both the amount and composition of the ejecta. Stronger neutron star magnetic fields suppress accretion and redirect more inflowing material into unbound outflows, even when the magnetosphere remains strongly compressed by the disk. Once the field produces magnetic channeling or centrifugal acceleration, mass loss is enhanced further. Reaction-network calculations show that these magnetically driven outflows can synthesize the full range of r-process nuclei, including the heaviest elements. Moderate neutrino irradiation substantially reduces the third-peak yield, but magnetically accelerated neutron star outflows retain a heavy component more effectively than black hole disk winds; sufficiently strong early-time irradiation suppresses it altogether. Accreting proto-magnetars may therefore be important heavy r-process sources once their neutrino emission has sufficiently declined.

Bonus — unexpected connections

Yuanchao Lou, hih-Ting Lu

The LZ 248 keV event drew three interpretations in a single day; this one dies by a neutrino argument. Recasting KamLAND data on $\chi + {}^{12}\mathrm{C} \to \nu + n + {}^{11}\mathrm{C}^*$ excludes the benchmark, so a large-volume scintillator neutrino detector is what arbitrates a xenon direct-detection anomaly.

hep-phhep-ex
Abstract

The LUX-ZEPLIN (LZ) experiment has reported a single candidate event in the high-energy nuclear recoil window $248\pm32.5\ \mathrm{keV}_{\mathrm{nr}}$ with an exposure of $2.80\ \mathrm{ton}\cdot\mathrm{yr}$, while the low-energy spectrum remains consistent with background expectations. We demonstrate that this excess can be naturally explained by the neutral-current absorption of fermionic dark matter on xenon nuclei. For a dark matter mass $m_χ\simeq 247\ \mathrm{MeV}$, the coherent absorption process produces a monoenergetic nuclear recoil at $E_R \simeq 248\ \mathrm{keV}_{\mathrm{nr}}$. At this momentum transfer, the absorption process enters the incoherent regime, where scattering off individual nucleons produces a broad recoil spectrum extending from $\sim 200\ \mathrm{keV}$ to $100.2\ \mathrm{MeV}$. We show that a single effective field theory coupling can simultaneously produce one event in the $248\pm32.5\ \mathrm{keV}_{\mathrm{nr}}$ window while remaining consistent with the non-observation of events in neighboring energy regions. The required single-nucleon absorption cross section is $σ_{χN}^{\mathrm{NC}} = 1.07\times10^{-46}\ \mathrm{cm}^2$, corresponding to an effective field theory scale $Λ\simeq 11.5\ \mathrm{TeV}$. However, a recasting analysis of KamLAND data on the neutron-emission channel $χ+{}^{12}\mathrm{C} \to ν+ n + {}^{11}\mathrm{C}^*$ excludes this benchmark parameter space, establishing a significant tension between the LZ excess interpretation and existing constraints from large-volume scintillator detectors. We discuss the implications of this tension and prospects for resolving it with future dedicated high-energy analyses.

Terry Gannon, Brandon C. Rayhaun

Rigorous classification of rational $c=1$ VOAs: everything is a rank-1 lattice algebra $V_L$ or a finite-group orbifold $V_L^G$, with the criterion resting on the vacuum character and congruence-subgroup modularity. The lattice/orbifold/modular-character machinery is the same toolkit that underlies eclectic flavour groups and modular flavour symmetry — worth seeing it used at full rigour.

hep-thcond-mat.str-elmath.QA
Abstract

For mathematicians: In this first in a series of two papers, we give a mathematically rigorous classification of (sufficiently nice) $c=1$ vertex operator algebras (VOAs) and vertex operator superalgebras (VOSAs). We confirm the lore that any such VO(S)A is either a lattice VO(S)A $V_L$ associated to a rank-1 integral lattice $L$, or can be obtained as an orbifold thereof, i.e. a $G$-invariant subalgebra $V_L^G$ for some finite group $G$ of automorphisms. All such $G$ are known, allowing for an explicit enumeration of nice $c=1$ VO(S)As. A key ingredient in our approach is to establish a general criterion for nice VOAs, requiring knowledge only of the vacuum character, for testing when the simple modules with integer conformal dimension span a symmetric fusion subcategory which is braided tensor equivalent to $Rep(G)$. In our companion paper, we calculate the ribbon auto-equivalences of the representation categories of the nice $c=1$ VOAs, and leverage this to obtain the classification of nice bosonic and fermionic $c=1$ full conformal field theories. For physicists: We rigorously classify the chiral algebras that can arise in the holomorphic sector of a bosonic or fermionic rational $c=1$ conformal field theory (CFT) whose non-identity primaries all have positive conformal dimension. Thinking of chiral algebras as gapless boundary conditions of 3D topological quantum field theories (TQFTs), our result says that any such chiral algebra is either a holomorphic boundary of $U(1)_k$ Chern-Simons theory, or can be obtained by passing to the $G$-invariant states thereof for some finite group $G$ of symmetries. We explicitly enumerate these chiral algebras and also discuss their non-invertible symmetries. In a companion paper, we build on these results using techniques from the study of 3D TQFTs to classify full bosonic and fermionic rational $c=1$ CFTs.

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