Supersymmetric Twisted Carroll Theories

Osman Erge\c{c}

REVIEW 3 major objections 5 minor 36 references

Supersymmetric Twisted Carroll Theories

T0 review · 3 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read A 2+2D parent algebra yields twisted Carroll supersymmetry.

desk verdict The off-shell Carroll supersymmetric models are explicit and checkable, but the advertised parent-algebra derivation has an unfilled Jacobi gap that needs to be closed before the headline claim is taken as established. read the letter →

arxiv 2608.02890 v1 pith:6LDQT7MH submitted 2026-08-03 hep-th

Osman Ergeç This is my paper · ORCID

classification hep-th

keywords Carrollsymmetrytwistedsupersymmetrysuperconformalalgebradimensionalreductionsuper-BMS4off-shellmagnetictheory2+2dimensions

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper sets out to show that the 2+1-dimensional Hull-type twisted N=2 Carroll superalgebra, including its electric and magnetic realizations, follows from a single parent structure: the 2+2-dimensional N=(1,1) superconformal algebra used in self-dual supergravity, taken through a Carroll contraction and then consistently truncated. If correct, this gives twisted Carroll symmetries a principled origin rather than treating them as ad hoc limits, and it connects them to infinite-dimensional chiral super-BMS4 structures. On the field-theory side, the paper constructs off-shell magnetic scalar and Abelian Yang-Mills theories that realize this algebra, with multiplier sectors enforcing time-independence conditions. The appendix adds a recipe for converting ordinary supersymmetric theories into twisted ones by analytic continuation, so the twisted Carroll class is presented as part of a broader family rather than an isolated example.

What carries the argument

The load-bearing object is the 2+2-dimensional N=(1,1) superconformal algebra SL(4|1), with the local isomorphism SO(2,2) ~ SL(2,R) x SL(2,R) making its left- and right-chiral structure explicit. The paper splits the second timelike direction, applies the Carroll contraction by rescaling the generators H, Ca, K, B, A, Q− and S− with a parameter c and taking c→0, then truncates along the unphysical timelike direction to obtain the Type A and Type B algebras. For the full twisted superconformal N=2 algebra, an extra deformation in the mixed anticommutator {Q±,S∓} is introduced and fixed by requiring Jacobi identities; the scalar and vector multiplets then realize the algebra off shell, with multiplier field equations enforcing the magnetic time-independence constraints.

What would settle it

Carry out the Jacobi check for the mixed sector of the 2+2 superconformal Carroll algebra: if no nonzero deformation of {Q±,S∓} satisfies all Jacobi identities while preserving the Type A and Type B brackets, the parent-algebra derivation as stated fails, even though the Lagrangians could still be correct.

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Extended reading notes

Core claim

The central claim is that the twisted N=2 Carroll superalgebra in 2+1 dimensions is the image of a 2+2-dimensional N=(1,1) superconformal algebra under a combined dimensional reduction and Carroll contraction. The parent algebra, whose bosonic subalgebra is SL(4) x SO(1,1), decomposes under the local isomorphism SO(2,2) ~ SL(2,R) x SL(2,R) into left- and right-chiral pieces; after the contraction it admits two truncations, Type A and Type B, which reduce to twisted N=2 supersymmetry and to a conformal Carroll partner related by a conformal exchange. The full twisted superconformal N=2 algebra requires, in addition, a deformation in the mixed anticommutator {Q±,S∓} that is fixed by Jacobi identities. Off shell, the paper constructs magnetic Carroll scalar and Abelian Yang-Mills multiplets: in the scalar model the multiplet splits into a magnetic sector (φ2, χ+, F2) plus a multiplier sector whose equations of motion impose the time-independence conditions ∂0φ2 = ∂0χ+ = ∂0F2 = 0 on a supersymmetry-invariant constraint surface; in the vector model a hybrid contraction yields the off-shell theory, and the pure magnetic sector arises as a consistent half-supersymmetric truncation with the same kind of time-independence constraints preserved by the surviving supercharges.

Load-bearing premise

The argument rests on the unproved claim that the 2+2 superconformal Carroll algebra admits the Type A and Type B truncations, and that the twisted N=2 algebra's mixed anticommutator, said to be fixed by Jacobi identities but never displayed, is a genuine deformation of the reduced algebra.

Editorial extensions

If this is right

The twisted N=2 Carroll superalgebra becomes a contracted sector of the 2+2-dimensional self-dual supergravity algebra, so any theory realizing that parent structure yields a twisted Carroll sector after the contraction.
The Type A and Type B truncations lift to left- and right-chiral super-BMS4 algebras, giving the infinite-dimensional BMS4 structure a role as the conformal enhancement of the same contracted sector.
Off-shell magnetic Carroll theories exist as complete actions: the scalar multiplier sector enforces ∂0φ2 = ∂0χ+ = ∂0F2 = 0, and the Yang-Mills magnetic truncation preserves the analogous constraints under the surviving supersymmetry and Carroll boosts.
On-shell consistency is a separate requirement: a contraction can look valid on transformation rules yet fail against the equations of motion, and the paper exhibits a worked example where the correct scaling is selected by requiring agreement between contracted and derived equations of motion.
Ordinary N=2 supersymmetric theories can be analytically continued to twisted ones by complex rescalings of one supercharge, with the R-symmetry becoming hyperbolic SO(1,1), so the twisted class is as large as the ordinary class.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Inference, not a paper claim: if the parent-algebra derivation holds, twisted Carroll structures should reappear whenever one contracts 2+2-dimensional or split-signature superconformal theories, providing a symmetry-based diagnostic for which Carrollian limits are physically consistent.
Inference, not a paper claim: the time-independence constraints enforced by the multiplier fields resemble the kinematical constraints of fracton and subsystem-symmetry models, suggesting a possible bridge between magnetic Carroll supersymmetry and generalized-symmetry phenomenology that this paper does not pursue.
Inference, not a paper claim: the appendix's analytic-continuation recipe implies that every ordinary 2+1-dimensional supersymmetric action has a twisted partner; testing the recipe on non-Abelian Yang-Mills or on supergravity would be a direct extension.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Short version: the field-theoretic constructions are the good part of this paper; the algebraic derivation that frames them is not yet complete. The off-shell magnetic scalar multiplet (Eqs. 25–29) and the magnetic truncation of the hybrid Yang–Mills multiplet (Eqs. 43–52) are explicit, with transformation rules and Lagrangians fully written down. They close off shell with the stated translations, and the magnetic constraint surface is shown to be supersymmetric-invariant. That is real, checkable work and a useful addition to the Carrollian supersymmetry toolkit. The on-shell consistency example with the self-dual vector multiplet is also a nice cautionary tale.

The soft spot is the paper's organizing claim: that the 2+1 twisted Carroll superalgebra follows from a 2+2 N=(1,1) superconformal parent. The explicit reduction and Type A/B truncations are given, but the full twisted superconformal N=2 algebra requires a deformation in the mixed anticommutator {Q±,S∓}, and the paper says only that it is 'fixed by imposing the Jacobi identities.' The deformed brackets are never written down. No Jacobi identity is checked. That matters because the abstract and conclusion present this parent-algebra realization as the main result. If no Jacobi-compatible deformation exists with the stated central terms, that part of the paper collapses; the field theories might still stand, but the derivation would be unsupported. The paper itself acknowledges the gap, which is honest, but it remains a load-bearing hole.

The reliance on same-group preprints [2] and [32] for key inputs is a secondary concern. Self-citation is not a problem when the cited result is solid, but here the missing deformation is exactly what the paper needs to demonstrate, and it points to [2] for the super-BMS4 lift and to [32] for the contraction decomposition. A referee will want those dependencies spelled out.

My verdict tracks the reader's: conditional. The constructions are likely correct and are presented cleanly, but the algebraic derivation needs to be completed. This is not a desk-reject. I would send it to a serious referee, with a request that the deformation be exhibited and the Jacobi identities checked, or the conclusions softened accordingly. The paper is for people working on Carrollian supersymmetry, BMS4, and flat-space holography; for them it's worth engaging with.

Referee Report

3 major / 5 minor

Summary. The manuscript studies the 2+1-dimensional Hull-type twisted N=2 Carroll superalgebra and claims to derive it by reducing the 2+2-dimensional N=(1,1) superconformal algebra, identifying Type A and Type B truncations and their lifts to chiral super-BMS4 algebras. It then constructs explicit off-shell magnetic Carroll scalar and Abelian Yang-Mills multiplets, with transformation rules and Lagrangians, and discusses the extra consistency conditions required for on-shell Carroll contractions. An appendix explains twisting by analytic continuation and contains the 2+2 superconformal Carroll algebra.

Significance. If correct, the paper would be useful: it gives complete, explicit off-shell multiplets realizing magnetic twisted Carroll supersymmetry and systematically tracks two inequivalent Carroll scaling prescriptions, a point that matters for on-shell theories. The field-theory sections are transparent and checkable, with transformation rules and Lagrangians displayed in full. The algebraic parent-derivation is the less complete part, and the current text does not yet support the advertised derivation at the level of the abstract.

major comments (3)

[Reduction of the N=(1,1) algebra, after Eq. (15)] After Eq. (15), the text states that the full twisted superconformal N=2 algebra 'cannot be obtained' from the undeformed 2+2 algebra, and that one must introduce a deformation in the mixed anticommutator {Q±,S∓} 'fixed by imposing the Jacobi identities.' These deformed brackets are never displayed, and no Jacobi identity is checked in the paper. Since the abstract and conclusion advertise this parent-algebra route as the origin of the 2+1 twisted Carroll superalgebra, this omission is load-bearing: please display the deformed commutators and anticommutators and verify the super-Jacobi identities, or revise the claims so the parent reduction is presented only as a motivation for the Type A and Type B algebras.
[Eqs. (10), (14), Fig. 1] The Type A and Type B algebras are called 'consistent truncations' of the 2+2 superconformal Carroll algebra, but the paper does not specify which generators are discarded, what truncation limit is taken, or why the discarded brackets are consistent with the Jacobi identities. This is needed for the claimed chiral super-BMS4 lifts and for the derivation chain drawn in Fig. 1. Please state the truncation rules explicitly and verify that all omitted brackets close.
[Off-Shell Magnetic Carroll Scalar Multiplet, Eqs. (25)-(29)] Eq. (27) contains the mass terms -2m φ2 F2 + m χbar+ χ+, while the transformation rules in Eq. (25) contain no m-dependent terms. The mass deformation in Appendix B, Eqs. (62)-(63), shows that m must appear in δχ+ and in δF2 for off-shell invariance. As written, the massive action (27) is therefore not invariant under the transformations (25). Please adopt one normalization: either set m=0 in (27) or use the deformed transformations from Appendix B, and verify closure for the massive action.

minor comments (5)

[Abstract] The sentence 'we further find that consistent reduction of this higher-dimensional algebra admit infinite dimensional lifts' has a subject-verb agreement error; it should be 'admits.'
[Conclusion] The name Inonu-Wigner appears garbled as '˙In¨on¨u'; please typeset it as 'Inonu-Wigner' with the proper diacritics.
[Throughout] Use a single notation for BMS4, e.g. 'BMS4' or 'BMS_4', and write 'super-BMS4' consistently instead of alternating between 'super- BMS 4' and 'BMS 4'.
[Eqs. (1), (6)-(8)] Please collect the gamma-matrix and spinor conventions in one place, including γ0^2=-1, the definition of C3, and the Majorana flip identities used in passing from Eq. (28) to Eq. (29).
[Fig. 1] The labels 'Trunc.' should be expanded to 'truncation' and the chiral blocks should be separated visually, since the subscripts in 'Left chiralBMS 4' and 'Right chiralBMS 4' are currently difficult to read.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the parent-algebra reduction and the field-theory constructions are self-contained, with only minor non-load-bearing self-citations.

full rationale

The paper's central algebraic derivation proceeds by explicit dimensional reduction and Carroll contraction of the 2+2-dimensional SL(4|1) parent algebra, with the brackets displayed in Eqs. (3)-(13) and Appendix C. The target Hull-type twisted N=2 Carroll algebra in Eq. (1) is not assumed in that derivation; it is recovered from the Type A truncation after turning off A, Z, and D. The field-theory constructions are likewise verified directly: the off-shell scalar multiplet transformations (25) close to (26), the Lagrangian (27) is written explicitly, and the magnetic Carroll conditions (30) are shown to be supersymmetry-invariant. The Yang-Mills construction similarly gives explicit contractions, transformations, and closure relations (44)-(53). The paper does contain a load-bearing incompleteness, but it is not circularity: after Eq. (15) it asserts that the full twisted superconformal N=2 algebra 'cannot be obtained by timelike reduction of the undeformed 2+2 dimensional algebra alone' and requires a deformation in {Q±,S∓} 'fixed by imposing the Jacobi identities', yet the deformed brackets and Jacobi checks are never shown. This is an omitted proof or a correctness gap, not a reduction of a claimed prediction to an input by construction. The self-citations are also not circular in the operative sense: [2] is same-group work defining the twisted Carroll superalgebra and magnetic super-BMS4, but the present paper re-derives the relevant algebra from the external parent algebra [3]; [32] is the author's unpublished work cited for the general statement that contractions decompose Lagrangians into sectors, but that statement is an interpretive remark and the specific two-scaling decomposition in Eq. (44) is computed explicitly. Accordingly, no prediction or first-principles result in this paper is equivalent by construction to a fitted parameter or to a self-cited assertion, and the honest finding is no significant circularity, score 0.

Assumptions & free parameters 1 free parameters · 6 assumptions · 0 invented entities

No fitted numerical constants appear; the only input parameter is the mass m. The central assumptions are the validity of the parent algebra, the contraction, and the untested truncation and deformation steps.

free parameters (1)

m = arbitrary (not determined by the construction)
Mass parameter introduced through the superpotential term in the twisted Carrollian scalar multiplet (Eq. 27 and Appendix B), realizing the central charge Z Phi = m Phi. It is not fitted to data, and the massless limit is consistent, so it is an input rather than a load-bearing fitted constant.

assumptions (6)

domain assumption The 2+2-dimensional N=(1,1) superconformal algebra SL(4|1) with brackets (3)-(4) is a correct closed algebra.
Inherited from [3] and used as the parent for the entire reduction; no independent verification is included.
domain assumption Pseudo-Majorana-Weyl spinors and the charge conjugation matrix in split signature satisfy the projection and redefinition relations in Eqs. (6)-(8).
The reduction to three-dimensional supercharges depends on these spinor identities.
domain assumption The rescalings in Eq. (9) define a valid Carroll contraction that preserves the graded Jacobi identities as c goes to 0.
The contracted algebra in Appendix C is stated, but the full Jacobi verification is not shown.
ad hoc to paper Type A and Type B generator sets (Eqs. 10 and 14) are consistent truncations of the 2+2 superconformal Carroll algebra.
Load-bearing step claimed in Fig. 1 and the text, but no explicit subalgebra check is provided.
ad hoc to paper A deformation in the mixed anticommutator {Q±,S±} exists and is uniquely fixed by the Jacobi identities, giving the full twisted superconformal N=2 algebra.
The paper states this requirement but does not display the deformed brackets or the Jacobi computation.
domain assumption For on-shell theories, consistency requires that the Carroll contraction of the parent equations of motion agrees with the equations of motion of the contracted action.
Introduced as a criterion in the on-shell section and used to select the admissible scaling in the massive vector example.

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Cite this review

Pith. "Pith review of Supersymmetric Twisted Carroll Theories." pith.science (2026). https://pith.science/paper/6LDQT7MH

@misc{pith2026260802890,
  author       = {Pith},
  title        = {Pith review of: Supersymmetric Twisted Carroll Theories},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/6LDQT7MH}},
  note         = {Machine review of arXiv:2608.02890}
}

abstract

We study the recently discussed $2+1$-dimensional Hull-type twisted $\mathcal{N}=2$ Carroll superalgebra. This structure admits both electric- and magnetic-type realizations at the level of the supersymmetry transformations. At the Lagrangian level, magnetic Carroll theories describe fields that propagate in space while remaining constrained in time, and vice versa for electric theories. We first realize this symmetry algebra through the dimensional reduction of a $2+2$-dimensional $\mathcal{N}=(1,1)$ parent algebra, originally discussed in the context of self-dual supergravity. We further find that a consistent reduction of this higher-dimensional algebra admits infinite-dimensional lifts to left- and right-chiral super-$\mathrm{BMS}_4$-type algebras, which can be combined by restoring the $R$-symmetry, leading to the type I-I magnetic super-$\mathrm{BMS}_4$ algebra. We then consistently construct magnetic off-shell scalar and Abelian Yang--Mills theories and comment on on-shell theories. Finally, in the appendix, we explain how an ordinary supersymmetric theory can be analytically continued to its twisted counterpart.

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Works this paper leans on

36 extracted references · 6 canonical work pages

[2]

A Twisted Origin for Magnetic Carroll Supersymmetry,

Ilayda Bulunur, Osman Ergec, Oguzhan Kasikci, Mehmet Ozkan, and Mustafa Salih Zog, “A Twisted Origin for Magnetic Carroll Supersymmetry,” (2026), arXiv:2603.28269 [hep-th]

arXiv 2026
[32]

Aspects of Non-Relativistic Supersym- metric Theories,

Osman Ergec, “Aspects of Non-Relativistic Supersym- metric Theories,” (2026), arXiv:2604.09275 [hep-th]

arXiv 2026
[1]

Supersym- metric Carroll Galileons in Three Dimensions,

Utku Zorba, Ilayda Bulunur, Oguzhan Kasikci, Mehmet Ozkan, Yi Pang, and Mustafa Salih Zog, “Supersym- metric Carroll Galileons in Three Dimensions,” Physical Review D111, 085008 (2025), arXiv:2409.15428 [hep-th]

arXiv 2025
[3]

Self-Dual Supergrav- ity Theories in 2+2 Dimensions,

Eric Bergshoeff and Ergin Sezgin, “Self-Dual Supergrav- ity Theories in 2+2 Dimensions,” Physics Letters B292, 87–92 (1992)

work page 1992
[4]

SupersymmetricBM S 4 Algebras Revis- ited: Electric/Magnetic Superalgebras and Free-Field Realization,

Yu-fan Zheng, “SupersymmetricBM S 4 Algebras Revis- ited: Electric/Magnetic Superalgebras and Free-Field Realization,” Journal of High Energy Physics12, 076 (2025), arXiv:2508.17925 [hep-th]

arXiv 2025
[5]

Carroll Symmetry, Dark Energy and Inflation,

Jan de Boer, Jelle Hartong, Niels A. Obers, Watse Sybesma, and Stefan Vandoren, “Carroll Symmetry, Dark Energy and Inflation,” Frontiers in Physics10, 810405 (2022), arXiv:2110.02319 [hep-th]

arXiv 2022
[6]

Unification of Decoupling Limits in String and M-Theory,

Chris D. A. Blair, Johannes Lahnsteiner, Niels A. Obers, and Ziqi Yan, “Unification of Decoupling Limits in String and M-Theory,” Physical Review Letters132, 161603 (2024), arXiv:2311.10564 [hep-th]

arXiv 2024
[7]

Matrix Theory Reloaded: A BPS Road to Holography,

Chris D. A. Blair, Johannes Lahnsteiner, Niels A. Obers, and Ziqi Yan, “Matrix Theory Reloaded: A BPS Road to Holography,” Journal of High Energy Physics02, 024 (2025), arXiv:2410.03591 [hep-th]

arXiv 2025

Show all 36 references

[8]

Car- roll Geometry Meets de Sitter Space via Holography,

Chris D. A. Blair, Niels A. Obers, and Ziqi Yan, “Car- roll Geometry Meets de Sitter Space via Holography,” (2025), arXiv:2506.19720 [hep-th]

2025 arXiv
[9]

Fractons, Dipole Symmetries and Curved Spacetime,

Leo Bidussi, Jelle Hartong, Emil Have, Jorgen Musaeus, and Stefan Prohazka, “Fractons, Dipole Symmetries and Curved Spacetime,” SciPost Physics12, 205 (2022), arXiv:2111.03668 [hep-th]

2022 arXiv
[10]

Fracton Infrared Triangle,

Alfredo P´ erez, Stefan Prohazka, and Ali Seraj, “Fracton Infrared Triangle,” Physical Review Letters133, 021603 (2024), arXiv:2310.16683 [hep-th]

2024 arXiv
[11]

Spacetime Subsystem Symme- tries,

Saba Asif Baig, Jacques Distler, Andreas Karch, Amir 7 Raz, and Hao-Yu Sun, “Spacetime Subsystem Symme- tries,” (2023), arXiv:2303.15590 [hep-th]

2023 arXiv
[12]

Carrol- lian Origin of Spacetime Subsystem Symmetry,

Oguzhan Kasikci, Mehmet Ozkan, and Yi Pang, “Carrol- lian Origin of Spacetime Subsystem Symmetry,” Physical Review D108, 045020 (2023), arXiv:2304.11331 [hep-th]

2023 arXiv
[13]

A Chern-Simons Theory for Dipole Symmetry,

Xiaoyang Huang, “A Chern-Simons Theory for Dipole Symmetry,” SciPost Physics15, 153 (2023), arXiv:2305.02492 [cond-mat.str-el]

2023 arXiv
[14]

Carroll/Fracton Particles and Their Correspon- dence,

Jos´ e Figueroa-O’Farrill, Alfredo P´ erez, and Stefan Pro- hazka, “Carroll/Fracton Particles and Their Correspon- dence,” Journal of High Energy Physics06, 207 (2023), arXiv:2305.06730 [hep-th]

2023 arXiv
[15]

Carrollian Supersymmetry and SYK-Like Models,

Oguzhan Kasikci, Mehmet Ozkan, Yi Pang, and Utku Zorba, “Carrollian Supersymmetry and SYK-Like Models,” Physical Review D110, L021702 (2024), arXiv:2311.00039 [hep-th]

2024 arXiv
[16]

Carroll Swiftons,

Florian Ecker, Daniel Grumiller, Marc Henneaux, and Patricio Salgado-Rebolledo, “Carroll Swiftons,” Physical Review D110, L041901 (2024), arXiv:2403.00544 [hep- th]

2024 arXiv
[17]

Fractons on Curved Spacetime in 2+1 Dimensions,

Jelle Hartong, Giandomenico Palumbo, Simon Pekar, Al- fredo P´ erez, and Stefan Prohazka, “Fractons on Curved Spacetime in 2+1 Dimensions,” SciPost Physics18, 022 (2025), arXiv:2409.04525 [hep-th]

2025 arXiv
[18]

Flat Holography: Aspects of the Dual Field Theory,

Arjun Bagchi, Rudranil Basu, Ashish Kakkar, and Aditya Mehra, “Flat Holography: Aspects of the Dual Field Theory,” Journal of High Energy Physics12, 147 (2016), arXiv:1609.06203 [hep-th]

2016 arXiv
[19]

Carrollian Perspective on Celes- tial Holography,

Laura Donnay, Adrien Fiorucci, Yannick Herfray, and Romain Ruzziconi, “Carrollian Perspective on Celes- tial Holography,” Physical Review Letters129, 071602 (2022), arXiv:2202.04702 [hep-th]

2022 arXiv
[20]

Bridging Carrollian and Celestial Holography,

Laura Donnay, Adrien Fiorucci, Yannick Herfray, and Romain Ruzziconi, “Bridging Carrollian and Celestial Holography,” Physical Review D107, 126027 (2023), arXiv:2212.12553 [hep-th]

2023 arXiv
[21]

Carrollian Approach to 1+3D Flat Holography,

Amartya Saha, “Carrollian Approach to 1+3D Flat Holography,” Journal of High Energy Physics06, 051 (2023), arXiv:2304.02696 [hep-th]

2023 arXiv
[22]

Carrollian Conformal Fields and Flat Holography,

Kevin Nguyen and Peter West, “Carrollian Conformal Fields and Flat Holography,” Universe9, 385 (2023), arXiv:2305.02884 [hep-th]

2023 arXiv
[23]

Carrollian Physics and Holography,

Romain Ruzziconi, “Carrollian Physics and Holography,” (2026), arXiv:2602.02644 [hep-th]

2026
[24]

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

Jean-Marc L´ evy-Leblond, “Une nouvelle limite non- relativiste du groupe de Poincar´ e,” Annales de l’Institut Henri Poincar´ e. Section A, Physique Th´ eorique3, 1–12 (1965)

1965
[25]

Andrew Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory(Princeton University Press,
[26]

Confor- mal Carroll Groups and BMS Symmetry,

C. Duval, G. W. Gibbons, and P. A. Horvathy, “Confor- mal Carroll Groups and BMS Symmetry,” Classical and Quantum Gravity31, 092001 (2014), arXiv:1402.5894 [gr-qc]

2014 arXiv
[27]

Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,

C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang, “Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,” Classical and Quan- tum Gravity31, 085016 (2014), arXiv:1402.0657 [gr-qc]

2014 arXiv
[28]

Gravitational Waves in General Relativity. VII. Waves from Axi-Symmetric Isolated System,

Hermann Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational Waves in General Relativity. VII. Waves from Axi-Symmetric Isolated System,” Pro- ceedings of the Royal Society of London. Series A. Math- ematical and Physical Sciences269, 21–52 (1962)

1962
[29]

The Symmetries of the Carroll Superparticle,

Eric Bergshoeff, Joaquim Gomis, and Lorena Parra, “The Symmetries of the Carroll Superparticle,” Journal of Physics A: Mathematical and Theoretical49, 185402 (2016), arXiv:1503.06083 [hep-th]

2016 arXiv
[30]

Structure of Carrol- lian (Conformal) Superalgebra,

Yu-fan Zheng and Bin Chen, “Structure of Carrol- lian (Conformal) Superalgebra,” Journal of High Energy Physics08, 111 (2025), arXiv:2503.22160 [hep-th]

2025 arXiv
[31]

Selfduality in Odd Dimensions,

P. K. Townsend, K. Pilch, and P. van Nieuwenhuizen, “Selfduality in Odd Dimensions,” Physics Letters B136, 38–42 (1984), addendum: Physics Letters B 137, 443 (1984)

1984
[33]

Car- roll Fermions,

Eric A. Bergshoeff, Andrea Campoleoni, Andrea Fontanella, Lea Mele, and Jan Rosseel, “Car- roll Fermions,” SciPost Physics16, 153 (2024), arXiv:2312.00745 [hep-th]

2024 arXiv
[34]

Carroll Spinors,

Daniel Grumiller, Lea Mele, and Luciano Montecchio, “Carroll Spinors,” Modern Physics Letters A41, 2540003 (2026), arXiv:2509.19426 [hep-th]

2026
[35]

Carroll Supergravities,

Marc Henneaux, “Carroll Supergravities,” (2026), arXiv:2607.08329 [hep-th]. SUPPLEMENT AL MA TERIAL (APPENDICES) APPENDIX A: TWISTING PROCEDURE FOR SUPERSYMMETRIC THEORIES Twisting either the algebraic or field-theoretic descrip- tion is straightforward. These structures can b...

2026 arXiv
[2018]

arXiv:1703.05448 [hep-th]

arXiv

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.

[1] [2]

A Twisted Origin for Magnetic Carroll Supersymmetry,

Ilayda Bulunur, Osman Ergec, Oguzhan Kasikci, Mehmet Ozkan, and Mustafa Salih Zog, “A Twisted Origin for Magnetic Carroll Supersymmetry,” (2026), arXiv:2603.28269 [hep-th]

arXiv 2026

[2] [32]

Aspects of Non-Relativistic Supersym- metric Theories,

Osman Ergec, “Aspects of Non-Relativistic Supersym- metric Theories,” (2026), arXiv:2604.09275 [hep-th]

arXiv 2026

[3] [1]

Supersym- metric Carroll Galileons in Three Dimensions,

Utku Zorba, Ilayda Bulunur, Oguzhan Kasikci, Mehmet Ozkan, Yi Pang, and Mustafa Salih Zog, “Supersym- metric Carroll Galileons in Three Dimensions,” Physical Review D111, 085008 (2025), arXiv:2409.15428 [hep-th]

arXiv 2025

[4] [3]

Self-Dual Supergrav- ity Theories in 2+2 Dimensions,

Eric Bergshoeff and Ergin Sezgin, “Self-Dual Supergrav- ity Theories in 2+2 Dimensions,” Physics Letters B292, 87–92 (1992)

work page 1992

[5] [4]

SupersymmetricBM S 4 Algebras Revis- ited: Electric/Magnetic Superalgebras and Free-Field Realization,

Yu-fan Zheng, “SupersymmetricBM S 4 Algebras Revis- ited: Electric/Magnetic Superalgebras and Free-Field Realization,” Journal of High Energy Physics12, 076 (2025), arXiv:2508.17925 [hep-th]

arXiv 2025

[6] [5]

Carroll Symmetry, Dark Energy and Inflation,

Jan de Boer, Jelle Hartong, Niels A. Obers, Watse Sybesma, and Stefan Vandoren, “Carroll Symmetry, Dark Energy and Inflation,” Frontiers in Physics10, 810405 (2022), arXiv:2110.02319 [hep-th]

arXiv 2022

[7] [6]

Unification of Decoupling Limits in String and M-Theory,

Chris D. A. Blair, Johannes Lahnsteiner, Niels A. Obers, and Ziqi Yan, “Unification of Decoupling Limits in String and M-Theory,” Physical Review Letters132, 161603 (2024), arXiv:2311.10564 [hep-th]

arXiv 2024

[8] [7]

Matrix Theory Reloaded: A BPS Road to Holography,

Chris D. A. Blair, Johannes Lahnsteiner, Niels A. Obers, and Ziqi Yan, “Matrix Theory Reloaded: A BPS Road to Holography,” Journal of High Energy Physics02, 024 (2025), arXiv:2410.03591 [hep-th]

arXiv 2025