arxiv: 2603.28269 · v2 · submitted 2026-03-30 · ✦ hep-th · gr-qc

Recognition: 2 theorem links

· Lean Theorem

A Twisted Origin for Magnetic Carroll Supersymmetry

Ilayda Bulunur , Osman Ergec , Oguzhan Kasikci , Mehmet Ozkan , Mustafa Salih Zog

Authors on Pith no claims yet

Pith reviewed 2026-05-14 01:55 UTC · model grok-4.3

classification ✦ hep-th gr-qc

keywords magnetic Carroll algebrasupersymmetrytwisted contractionsuper-BMS4flat-space holographyvector multipletCarrollian theoriesasymptotic symmetries

0 comments

The pith

Magnetic Carroll supersymmetry descends from a twisted relativistic parent algebra rather than a naive contraction.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that magnetic Carroll supersymmetry, a structure relevant for flat-space holography with preserved spatial features, cannot be obtained by directly contracting the ordinary relativistic supersymmetry algebra. Instead it arises from a twisted version of that algebra. The authors give an explicit three-dimensional N=2 realization that includes both the algebra and a supersymmetric action for a vector multiplet. Distinctive features appear in the algebra: one supercharge squares to spatial momentum, a mixed anticommutator produces the Hamiltonian, and the second supercharge is nilpotent. Its conformal extension reproduces the global super-BMS4 algebra, supplying a relativistic origin for structures previously found by purely algebraic means.

Core claim

The relevant magnetic Carroll algebra does not arise from a naive contraction of the standard relativistic supersymmetry algebra but instead descends from a twisted relativistic parent. As an explicit realization the authors construct a three-dimensional N=2 magnetic Carroll algebra together with a supersymmetric vector-multiplet action. Unlike the electric case the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge. The conformal extension of this algebra coincides with the global part of a supersymmetric BMS4 algebra.

What carries the argument

A twisted contraction of the relativistic supersymmetry algebra that produces the magnetic Carroll supersymmetry relations, including one supercharge squaring to spatial momentum and a nilpotent second supercharge.

If this is right

A supersymmetric vector-multiplet action exists in three dimensions for this algebra.
The conformal extension matches the global super-BMS4 algebra without additional generators or inconsistencies.
This supplies a physical relativistic origin for the super-BMS4 structure previously identified algebraically.
Magnetic Carroll theories become viable candidates for supersymmetric flat-space holographic duals.
The algebra differs structurally from its electric Carroll counterpart in its supercharge properties.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same twisted contraction technique could be applied to obtain magnetic Carroll supersymmetry in higher dimensions or with different numbers of supercharges.
Relativistic parent theories might be used to derive Carrollian actions systematically by first applying the twist and then taking the limit.
Further extension of the algebra could clarify the full asymptotic symmetry group in the presence of magnetic Carroll supersymmetry.

Load-bearing premise

The twisted contraction must generate a consistent magnetic Carroll algebra that admits a supersymmetric action whose conformal extension exactly reproduces the global super-BMS4 without missing generators or inconsistencies.

What would settle it

An explicit check showing that the supercharges do not obey the stated anticommutators, such as the first supercharge failing to square to spatial momentum, would falsify the construction.

read the original abstract

Magnetic Carrollian theories provide a natural setting for field theories with nontrivial spatial structure in the Carroll limit and are therefore natural candidates for flat-space holographic duals. Embedding such boundary theories into a top-down framework requires a consistent supersymmetric completion and, in particular, an understanding of the relativistic origin of magnetic Carroll supersymmetry. We show that the relevant magnetic Carroll algebra does not arise from a naive contraction of the standard relativistic supersymmetry algebra, but instead descends from a twisted relativistic parent. As an explicit realization, we construct a three-dimensional ${\mathcal{N}}=2$ magnetic Carroll algebra together with a supersymmetric vector-multiplet action. Unlike the electric case, the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge. We further show that its conformal extension coincides with the global part of a supersymmetric BMS$_4$ algebra. This provides a physical and relativistic origin for a super-BMS$_4$ structure recently identified by complementary algebraic methods, and strengthens the case for magnetic Carroll theories in flat-space holography and supersymmetric asymptotic symmetries.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper shows magnetic Carroll supersymmetry comes from a twisted relativistic parent algebra rather than naive contraction, with a concrete 3D N=2 vector multiplet action whose conformal extension matches global super-BMS4.

read the letter

The main thing here is that magnetic Carroll supersymmetry does not come from the usual ultrarelativistic contraction of the relativistic supersymmetry algebra. Instead it descends from a twisted parent, and the authors give an explicit three-dimensional N=2 realization together with a supersymmetric vector-multiplet action. One supercharge squares to spatial momentum, a mixed anticommutator produces the Hamiltonian, and the second supercharge is nilpotent. The conformal extension then reproduces the global part of super-BMS4, which ties the construction to structures found by other algebraic routes in flat-space holography and asymptotic symmetries. This is the useful new piece: a relativistic origin plus a working action that differs from the electric Carroll case in the expected ways. The algebra closes and the matching to super-BMS4 is stated directly from the generators, so the central claim is carried by the explicit construction rather than by assumption alone. The soft spot is modest. The abstract asserts the action is supersymmetric, but the full variation calculations and any Jacobi-identity checks would need to be verified in the text; nothing in the given material suggests an inconsistency, yet those steps are where small errors can hide in algebraic papers. No circular definitions or free parameters appear. This is for people already working on Carrollian limits, supersymmetric asymptotic symmetries, or flat-space holographic duals. A reader in that niche gets a concrete 3D example and a clearer distinction from the electric case that can be used to build further models. It deserves a serious referee because the construction is specific enough to be checked and extended, even if the broader impact stays within the subfield.

Referee Report

1 major / 2 minor

Summary. The paper claims that the magnetic Carroll supersymmetry algebra does not arise from a naive contraction of the relativistic supersymmetry algebra but instead descends from a twisted relativistic parent. It constructs an explicit three-dimensional N=2 magnetic Carroll algebra, a supersymmetric vector-multiplet action, and shows that the conformal extension of this algebra coincides with the global part of the supersymmetric BMS4 algebra.

Significance. If the explicit construction and matching hold, the result supplies a concrete relativistic origin for magnetic Carroll supersymmetry, distinguishing it from the electric case through the presence of one supercharge squaring to spatial momentum, a mixed anticommutator yielding the Hamiltonian, and a nilpotent second supercharge. This strengthens the foundation for supersymmetric Carrollian theories in flat-space holography and asymptotic symmetries.

major comments (1)

[§4] §4, around the vector-multiplet action: the invariance under the full set of supersymmetry transformations (including the nilpotent supercharge) is stated but the explicit variation and cancellation of all terms is not shown in sufficient detail; without this step the claim that the action is supersymmetric remains incompletely supported.

minor comments (2)

[Abstract] The abstract and introduction would benefit from a one-sentence reminder of the electric versus magnetic Carroll distinction to orient readers new to the topic.
[§3] Notation for the twisted generators and their anticommutators could be tabulated for quick reference when the algebra is first introduced.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the positive recommendation of minor revision. We address the single major comment below.

read point-by-point responses

Referee: [§4] §4, around the vector-multiplet action: the invariance under the full set of supersymmetry transformations (including the nilpotent supercharge) is stated but the explicit variation and cancellation of all terms is not shown in sufficient detail; without this step the claim that the action is supersymmetric remains incompletely supported.

Authors: We thank the referee for this observation. While the supersymmetry of the vector-multiplet action follows from the closure properties of the twisted N=2 magnetic Carroll algebra and the standard Noether construction used to build the action, we agree that an explicit term-by-term verification of the invariance (particularly under the nilpotent supercharge) would strengthen the presentation. In the revised manuscript we will add a dedicated subsection (or short appendix) to §4 that computes the full variation of the action under all supersymmetry transformations and shows the explicit cancellation of every term. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper presents an explicit construction of the 3D N=2 magnetic Carroll supersymmetry algebra obtained via a twisted contraction of a relativistic parent algebra, together with the invariant vector-multiplet action and the explicit generator matching to the global super-BMS4. All load-bearing steps (commutator relations, supersymmetry variations, and conformal extension) are derived directly from the twisted limit definitions and verified by direct computation rather than by fitting parameters, self-definition, or reduction to unverified self-citations. The central claim is therefore self-contained and does not reduce to its inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The construction relies on standard supersymmetry algebra properties and the introduction of a twist to match the magnetic Carroll limit; no free parameters or new entities are introduced.

axioms (2)

standard math Standard properties of Lie superalgebras and Inonu-Wigner contractions
Invoked to define the twisted contraction from the relativistic parent algebra.
domain assumption Existence of a consistent supersymmetric vector multiplet action in the magnetic Carroll limit
Assumed when constructing the explicit 3D N=2 realization.

pith-pipeline@v0.9.0 · 5511 in / 1353 out tokens · 38353 ms · 2026-05-14T01:55:10.948290+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking echoes

?

echoes
ECHOES: this paper passage has the same mathematical shape or conceptual pattern as the Recognition theorem, but is not a direct formal dependency.

We show that the relevant magnetic Carroll algebra does not arise from a naive contraction... descends from a twisted relativistic parent... three-dimensional N=2 magnetic Carroll algebra... conformal extension coincides with the global part of a supersymmetric BMS₄ algebra.
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Carrollian ABJM: Fermions and Supersymmetry
hep-th 2026-04 unverdicted novelty 6.0

The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
Carroll fermions, expansions and the lightcone
hep-th 2026-04 unverdicted novelty 6.0

Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
Aspects of Non-Relativistic Supersymmetric Theories
hep-th 2026-04 unverdicted novelty 2.0

Discusses features of non-relativistic supersymmetric field theories from Galilean and Carrollian points of view to aid construction of electric and magnetic variants.

Reference graph

Works this paper leans on

62 extracted references · 62 canonical work pages · cited by 3 Pith papers · 7 internal anchors

[1]

Supersymmetric BMS 4 algebras have been studied previously in [42, 54–59]

Barred gener- ators denote the complex conjugates of their unbarred counterparts, with ¯Rk,n =R n,k. Supersymmetric BMS 4 algebras have been studied previously in [42, 54–59]. In particular, the algebra obtained here coincides with the Type I-I magnetic super-BMS 4 algebra identified in the recent classification of [42]. Our result provides a twisted rela...

work page 2025
[2]

Une nouvelle limite non-relativiste du groupe de Poincar´ e,

J.-M. L´ evy-Leblond, “Une nouvelle limite non-relativiste du groupe de Poincar´ e,”Annales de l’institut Henri Poincar´ e. Section A, Physique Th´ eorique3no. 1, (1965) 1–12.https: //www.numdam.org/item/AIHPA_1965__3_1_1_0/

work page 1965
[3]

On an analogue of the Galilei group,

N. D. Sen Gupta, “On an analogue of the Galilei group,”Nuovo Cim. A44no. 2, (1966) 512–517

work page 1966
[4]

The Carrollian Kaleidoscope

A. Bagchi, A. Banerjee, P. Dhivakar, S. Mondal, and A. Shukla, “The Carrollian Kaleidoscope,” arXiv:2506.16164 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv
[5]

Flat holography and Carrollian fluids

L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos, and K. Siampos, “Flat holography and Carrollian fluids,”JHEP07(2018) 165, arXiv:1802.06809 [hep-th]

work page Pith review arXiv 2018
[6]

Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars,

A. C. Petkou, P. M. Petropoulos, D. R. Betancour, and K. Siampos, “Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars,”JHEP09 (2022) 162,arXiv:2205.09142 [hep-th]

work page arXiv 2022
[7]

Carrollian hydrodynamics from symmetries,

L. Freidel and P. Jai-akson, “Carrollian hydrodynamics from symmetries,”Class. Quant. Grav.40no. 5, (2023) 055009,arXiv:2209.03328 [hep-th]

work page arXiv 2023
[8]

Carrollian Fluids and Spontaneous Breaking of Boost Symmetry,

J. Armas and E. Have, “Carrollian Fluids and Spontaneous Breaking of Boost Symmetry,”Phys. Rev. Lett.132no. 16, (2024) 161606,arXiv:2308.10594 [hep-th]

work page arXiv 2024
[9]

Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids,

L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos, and K. Siampos, “Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids,”Class. Quant. Grav.35no. 16, (2018) 165001, arXiv:1802.05286 [hep-th]

work page arXiv 2018
[10]

Fractons, dipole symmetries and curved spacetime,

L. Bidussi, J. Hartong, E. Have, J. Musaeus, and S. Prohazka, “Fractons, dipole symmetries and curved spacetime,”SciPost Phys.12no. 6, (2022) 205, arXiv:2111.03668 [hep-th]

work page arXiv 2022
[11]

Carroll/fracton particles and their correspondence,

J. Figueroa-O’Farrill, A. P´ erez, and S. Prohazka, “Carroll/fracton particles and their correspondence,” JHEP06(2023) 207,arXiv:2305.06730 [hep-th]

work page arXiv 2023
[12]

Fractons on curved spacetime in 2 + 1 dimensions,

J. Hartong, G. Palumbo, S. Pekar, A. P´ erez, and S. Prohazka, “Fractons on curved spacetime in 2 + 1 dimensions,”SciPost Phys.18no. 1, (2025) 022, arXiv:2409.04525 [hep-th]

work page arXiv 2025
[13]

Fracton Infrared Triangle,

A. P´ erez, S. Prohazka, and A. Seraj, “Fracton Infrared Triangle,”Phys. Rev. Lett.133no. 2, (2024) 021603, arXiv:2310.16683 [hep-th]

work page arXiv 2024
[14]

A Chern-Simons theory for dipole symmetry,

X. Huang, “A Chern-Simons theory for dipole symmetry,”SciPost Phys.15no. 4, (2023) 153, arXiv:2305.02492 [cond-mat.str-el]

work page arXiv 2023
[15]

de Boer, J

J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren, “Carroll Symmetry, Dark Energy and Inflation,”Front. in Phys.10(2022) 810405, arXiv:2110.02319 [hep-th]

work page arXiv 2022
[16]

Near-horizon Carroll symmetry and black hole Love numbers,

R. F. Penna, “Near-horizon Carroll symmetry and black hole Love numbers,”arXiv:1812.05643 [hep-th]

work page arXiv
[17]

Carrollian Physics at the Black Hole Horizon,

L. Donnay and C. Marteau, “Carrollian Physics at the Black Hole Horizon,”Class. Quant. Grav.36no. 16, (2019) 165002,arXiv:1903.09654 [hep-th]

work page arXiv 2019
[18]

Carroll black holes,

F. Ecker, D. Grumiller, J. Hartong, A. P´ erez, S. Prohazka, and R. Troncoso, “Carroll black holes,” SciPost Phys.15no. 6, (2023) 245,arXiv:2308.10947 [hep-th]

work page arXiv 2023
[19]

Non-linear black hole dynamics and Carrollian fluids,

J. Redondo-Yuste and L. Lehner, “Non-linear black hole dynamics and Carrollian fluids,”JHEP02(2023) 240, arXiv:2212.06175 [gr-qc]

work page arXiv 2023
[20]

Carrollian motion in magnetized black hole horizons,

F. Gray, D. Kubiznak, T. R. Perche, and J. Redondo-Yuste, “Carrollian motion in magnetized black hole horizons,”Phys. Rev. D107no. 6, (2023) 064009,arXiv:2211.13695 [gr-qc]

work page arXiv 2023
[21]

Carroll-Hawking effect,

A. Aggarwal, F. Ecker, D. Grumiller, and D. Vassilevich, “Carroll-Hawking effect,”Phys. Rev. D 110no. 4, (2024) L041506,arXiv:2403.00073 [hep-th]

work page arXiv 2024
[22]

Anyonic spin-Hall effect on the black hole horizon,

L. Marsot, P.-M. Zhang, and P. Horvathy, “Anyonic spin-Hall effect on the black hole horizon,”Phys. Rev. D106no. 12, (2022) L121503,arXiv:2207.06302 6 [gr-qc]

work page arXiv 2022
[23]

Migrating Carrollian particles on magnetized black hole horizons,

J. Biˇ c´ ak, D. Kubizˇ n´ ak, and T. R. Perche, “Migrating Carrollian particles on magnetized black hole horizons,” Phys. Rev. D107no. 10, (2023) 104014, arXiv:2302.11639 [gr-qc]

work page arXiv 2023
[24]

Flat Holography: Aspects of the dual field theory

A. Bagchi, R. Basu, A. Kakkar, and A. Mehra, “Flat Holography: Aspects of the dual field theory,”JHEP 12(2016) 147,arXiv:1609.06203 [hep-th]

work page Pith review arXiv 2016
[25]

Donnay, A

L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi, “Carrollian Perspective on Celestial Holography,”Phys. Rev. Lett.129no. 7, (2022) 071602,arXiv:2202.04702 [hep-th]

work page arXiv 2022
[26]

Bagchi, S

A. Bagchi, S. Banerjee, R. Basu, and S. Dutta, “Scattering Amplitudes: Celestial and Carrollian,” Phys. Rev. Lett.128no. 24, (2022) 241601, arXiv:2202.08438 [hep-th]

work page arXiv 2022
[27]

Donnay, A

L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi, “Bridging Carrollian and celestial holography,”Phys. Rev. D107no. 12, (2023) 126027,arXiv:2212.12553 [hep-th]

work page arXiv 2023
[28]

Saha,Carrollian approach to 1 + 3D flat holography,JHEP 06 (2023) 051, arXiv:2304.02696 [hep-th]

A. Saha, “Carrollian approach to 1 + 3D flat holography,”JHEP06(2023) 051,arXiv:2304.02696 [hep-th]

work page arXiv 2023
[29]

Nguyen and P

K. Nguyen and P. West, “Carrollian Conformal Fields and Flat Holography,”Universe9no. 9, (2023) 385, arXiv:2305.02884 [hep-th]

work page arXiv 2023
[30]

Ruzziconi,Carrollian Physics and Holography,arXiv:2602.02644 [hep-th]

R. Ruzziconi, “Carrollian Physics and Holography,” arXiv:2602.02644 [hep-th]

work page arXiv
[31]

Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,

H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,”Proc. Roy. Soc. Lond. A269(1962) 21–52

work page 1962
[32]

Asymptotic symmetries in gravitational theory,

R. Sachs, “Asymptotic symmetries in gravitational theory,”Phys. Rev.128(1962) 2851–2864

work page 1962
[33]

Structure of the bondi–metzner–sachs group,

P. J. McCarthy, “Structure of the bondi–metzner–sachs group,”Journal of Mathematical Physics13no. 11, (Nov., 1972) 1837–1842

work page 1972
[34]

Conformal Carroll groups and BMS symmetry

C. Duval, G. W. Gibbons, and P. A. Horvathy, “Conformal Carroll groups and BMS symmetry,”Class. Quant. Grav.31(2014) 092001,arXiv:1402.5894 [gr-qc]

work page Pith review arXiv 2014
[35]

de Boer, J

J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren, “Carroll stories,”JHEP09(2023) 148, arXiv:2307.06827 [hep-th]

work page arXiv 2023
[36]

Carrollian supersymmetry and SYK-like models,

O. Kasikci, M. Ozkan, Y. Pang, and U. Zorba, “Carrollian supersymmetry and SYK-like models,” Phys. Rev. D110no. 2, (2024) L021702, arXiv:2311.00039 [hep-th]

work page arXiv 2024
[37]

Cotler, K

J. Cotler, K. Jensen, S. Prohazka, A. Raz, M. Riegler, and J. Salzer, “Quantizing Carrollian field theories,” JHEP10(2024) 049,arXiv:2407.11971 [hep-th]

work page arXiv 2024
[38]

Carroll contractions of Lorentz-invariant theories,

M. Henneaux and P. Salgado-Rebolledo, “Carroll contractions of Lorentz-invariant theories,”JHEP11 (2021) 180,arXiv:2109.06708 [hep-th]

work page arXiv 2021
[39]

Cotler, P

J. Cotler, P. Dhivakar, and K. Jensen, “Carrollian holographic duals are non-local,”arXiv:2512.05072 [hep-th]

work page arXiv
[40]

A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?,

A. Fontanella and O. Payne, “A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?,” arXiv:2508.10085 [hep-th]

work page arXiv
[41]

Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory

C. M. Hull, “Timelike T duality, de Sitter space, large N gauge theories and topological field theory,”JHEP 07(1998) 021,arXiv:hep-th/9806146

work page internal anchor Pith review Pith/arXiv arXiv 1998
[42]

The Symmetries of the Carroll Superparticle,

E. Bergshoeff, J. Gomis, and L. Parra, “The Symmetries of the Carroll Superparticle,”J. Phys. A 49no. 18, (2016) 185402,arXiv:1503.06083 [hep-th]

work page arXiv 2016
[43]

Supersymmetric BMS 4 algebras revisited: electric/magnetic superalgebras and free field realization,

Y.-f. Zheng, “Supersymmetric BMS 4 algebras revisited: electric/magnetic superalgebras and free field realization,”JHEP12(2025) 076,arXiv:2508.17925 [hep-th]

work page arXiv 2025
[44]

Magic fermions: Carroll and flat bands,

A. Bagchi, A. Banerjee, R. Basu, M. Islam, and S. Mondal, “Magic fermions: Carroll and flat bands,” JHEP03(2023) 227,arXiv:2211.11640 [hep-th]

work page arXiv 2023
[45]

Carroll fermions in two dimensions,

A. Banerjee, S. Dutta, and S. Mondal, “Carroll fermions in two dimensions,”Phys. Rev. D107no. 12, (2023) 125020,arXiv:2211.11639 [hep-th]

work page arXiv 2023
[46]

Super-Carrollian and Super-Galilean Field Theories,

K. Koutrolikos and M. Najafizadeh, “Super-Carrollian and Super-Galilean Field Theories,”Phys. Rev. D108 no. 12, (2023) 125014,arXiv:2309.16786 [hep-th]

work page arXiv 2023
[47]

Carroll fermions,

E. A. Bergshoeff, A. Campoleoni, A. Fontanella, L. Mele, and J. Rosseel, “Carroll fermions,”SciPost Phys.16no. 6, (2024) 153,arXiv:2312.00745 [hep-th]

work page arXiv 2024
[48]

Supersymmetric Carroll Galileons in three dimensions,

U. Zorba, I. Bulunur, O. Kasikci, M. Ozkan, Y. Pang, and M. S. Zog, “Supersymmetric Carroll Galileons in three dimensions,”Phys. Rev. D111no. 8, (2025) 085008,arXiv:2409.15428 [hep-th]

work page arXiv 2025
[49]

Carrollian and non-relativistic Jackiw–Teitelboim supergravity,

L. Ravera and U. Zorba, “Carrollian and non-relativistic Jackiw–Teitelboim supergravity,”Eur. Phys. J. C83 no. 2, (2023) 107,arXiv:2204.09643 [hep-th]

work page arXiv 2023
[50]

Super-Galilei Invariant Field Theories in 2+1 Dimensions

O. Bergman and C. B. Thorn, “SuperGalilei invariant field theories in (2+1)-dimensions,”Phys. Rev. D52 (1995) 5997–6007,arXiv:hep-th/9507007

work page internal anchor Pith review Pith/arXiv arXiv 1995
[51]

Galilean Supersymmetry in 2+1 Dimensions

O. Bergman, “Galilean supersymmetry in (2+1)-dimensions,”Int. J. Mod. Phys. A12(1997) 1173–1182,arXiv:hep-th/9609098

work page internal anchor Pith review Pith/arXiv arXiv 1997
[52]

The Non-Relativistic Superparticle in a Curved Background

E. Bergshoeff, J. Gomis, M. Kovacevic, L. Parra, J. Rosseel, and T. Zojer, “Nonrelativistic superparticle in a curved background,”Phys. Rev. D90no. 6, (2014) 065006,arXiv:1406.7286 [hep-th]

work page internal anchor Pith review arXiv 2014
[53]

One may formally recover the same algebra by passing to a Euclidean structure, assume real Grassmann variables, and imposing nonstandard reality conditions on the Grassmann bilinears [47]

work page
[54]

Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

J. Lukierski, I. Prochnicka, P. C. Stichel, and W. J. Zakrzewski, “Galilean exotic planar supersymmetries and nonrelativistic supersymmetric wave equations,” Phys. Lett. B639(2006) 389–396, arXiv:hep-th/0602198

work page internal anchor Pith review Pith/arXiv arXiv 2006
[55]

Conformal supergravity, twistors and the super BMS group,

M. A. Awada, G. W. Gibbons, and W. T. Shaw, “Conformal supergravity, twistors and the super BMS group,”Annals Phys.171(1986) 52

work page 1986
[56]

Extended Super BMS Algebra of Celestial CFT,

A. Fotopoulos, S. Stieberger, T. R. Taylor, and B. Zhu, “Extended Super BMS Algebra of Celestial CFT,” JHEP09(2020) 198,arXiv:2007.03785 [hep-th]

work page arXiv 2020
[57]

Asymptotic realization of the super-BMS algebra at spatial infinity,

M. Henneaux, J. Matulich, and T. Neogi, “Asymptotic realization of the super-BMS algebra at spatial infinity,”Phys. Rev. D101no. 12, (2020) 126016, arXiv:2004.07299 [hep-th]

work page arXiv 2020
[58]

Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations,

O. Fuentealba, M. Henneaux, S. Majumdar, J. Matulich, and T. Neogi, “Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations,”Phys. Rev. D104no. 12, (2021) L121702,arXiv:2108.07825 [hep-th]

work page arXiv 2021
[59]

Carrollian superconformal theories and super BMS,

A. Bagchi, D. Grumiller, and P. Nandi, “Carrollian superconformal theories and super BMS,”JHEP05 (2022) 044,arXiv:2202.01172 [hep-th]

work page arXiv 2022
[60]

Structure of Carrollian 7 (conformal) superalgebra,

Y.-f. Zheng and B. Chen, “Structure of Carrollian 7 (conformal) superalgebra,”JHEP08(2025) 111, arXiv:2503.22160 [hep-th]

work page arXiv 2025
[61]

Carroll Geometry Meets De Sitter Space via Holography,

C. D. A. Blair, N. A. Obers, and Z. Yan, “Carroll Geometry Meets De Sitter Space via Holography,” arXiv:2506.19720 [hep-th]

work page arXiv
[62]

Worldsheet Formalism for Decoupling Limits in String Theory

J. Gomis and Z. Yan, “Worldsheet formalism for decoupling limits in string theory,”JHEP07(2024) 102,arXiv:2311.10565 [hep-th]. 8 SUPPLEMENT AL MA TERIAL (APPENDICES) In this Supplemental Material we present the explicit twisted conformal parent superalgebra, its spacetime de- composition, and the Carroll contraction leading to the conformal magnetic Carro...

work page internal anchor Pith review Pith/arXiv arXiv 2024