arxiv: 2604.09275 · v1 · submitted 2026-04-10 · ✦ hep-th

Recognition: no theorem link

Aspects of Non-Relativistic Supersymmetric Theories

Osman Ergec

Authors on Pith no claims yet

Pith reviewed 2026-05-10 18:00 UTC · model grok-4.3

classification ✦ hep-th

keywords non-relativistic supersymmetryGalilean contractionCarrollian contractionelectric non-relativistic theoriesmagnetic non-relativistic theoriessupersymmetric field theoriesnon-relativistic limits

0 comments

The pith

Galilean and Carrollian contractions of relativistic supersymmetric theories reveal features useful for electric and magnetic non-relativistic versions.

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

The paper discusses key features of non-relativistic supersymmetric field theories obtained by taking Galilean and Carrollian contractions of their relativistic parent theories. These contractions highlight structures and transformation rules that can guide the systematic construction of electric and magnetic non-relativistic supersymmetric theories. A sympathetic reader would care because non-relativistic supersymmetry appears in effective descriptions of condensed matter systems, ultracold atoms, and certain high-energy limits where full Lorentz invariance does not hold. The work organizes these aspects to make the passage from relativistic models to non-relativistic ones more transparent while retaining supersymmetry. If the features prove robust, they supply concrete tools for building consistent non-relativistic supersymmetric field theories.

Core claim

Over the last decade non-relativistic theories have attracted considerable attention and in general can be obtained by contracting relativistic parent theories. This work discusses features of non-relativistic supersymmetric field theories from both the Galilean and Carrollian points of view that may be useful for constructing electric and magnetic non-relativistic theories.

What carries the argument

Galilean and Carrollian contractions of relativistic supersymmetric field theories, which adapt supersymmetry algebras, field contents, and actions to the respective non-relativistic regimes.

If this is right

Electric non-relativistic supersymmetric theories can be constructed by applying Galilean contractions to known relativistic models.
Magnetic non-relativistic supersymmetric theories can be constructed by applying Carrollian contractions to known relativistic models.
Supersymmetry transformations and field representations adapt in identifiable ways under each contraction, supplying building blocks for the non-relativistic theories.
The resulting theories inherit selected properties from their relativistic parents while respecting the respective non-relativistic symmetry groups.

Where Pith is reading between the lines

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

The same contraction techniques may connect non-relativistic supersymmetry to effective descriptions used in condensed-matter models of anyons or topological phases.
These limits could be applied to include gravitational or higher-spin extensions while remaining non-relativistic.
Lattice or quantum-simulator implementations of the resulting theories would provide a direct test of whether the contracted supersymmetry survives discretization.

Load-bearing premise

The features identified via Galilean and Carrollian contractions of relativistic supersymmetric theories will prove useful for constructing electric and magnetic non-relativistic supersymmetric theories.

What would settle it

An explicit construction of an electric or magnetic non-relativistic supersymmetric theory using these contraction features that fails to close the supersymmetry algebra or violates invariance under the non-relativistic symmetries.

read the original abstract

Over the last decade, non-relativistic theories have attracted considerable attention. In general, such theories can be obtained by contracting relativistic parent theories. In this work, we discuss features of non-relativistic supersymmetric field theories from both the Galilean and Carrollian points of view that may be useful for constructing electric and magnetic non-relativistic theories.

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

This is a short discussion note on features of non-relativistic supersymmetric theories via standard Galilean and Carrollian contractions, without new constructions or derivations.

read the letter

The paper's core is a discussion of features that appear when you contract relativistic supersymmetric field theories down to Galilean and Carrollian limits. It notes that some of those features might help later when people try to build electric and magnetic non-relativistic supersymmetric models, but it does not actually carry out those constructions or derive new theories. The method itself is the usual one: start from a relativistic parent and take the appropriate limit. That part is standard and correctly applied as far as the abstract and description go. If the full text includes concrete examples or explicit component expansions that are not already in the literature, those could serve as a small reference for specialists. Otherwise the contribution stays at the level of pointing out aspects that may prove useful. The main limitation is the tentativeness of the payoff. The abstract frames everything as potentially helpful rather than demonstrating utility through an explicit example or new model. Prior work on contractions of supersymmetric theories already exists, so the framing does not claim to break new ground. No circular reasoning or invented entities appear in the description. The paper is aimed at the small community working on non-relativistic supersymmetry in hep-th. Someone already comfortable with contraction techniques will not find major surprises, while a reader looking for concrete new models or resolutions to open questions will come away empty. It does not rise to the level that would justify sending it out for serious refereeing; a short arXiv note or conference proceeding would fit the scope better. If the author later adds explicit constructions that use the features discussed here, that follow-up could be worth a look.

Referee Report

0 major / 2 minor

Summary. The manuscript discusses features of non-relativistic supersymmetric field theories obtained via Galilean and Carrollian contractions of relativistic parent theories. It highlights aspects from both viewpoints that may prove useful for constructing electric and magnetic non-relativistic supersymmetric theories.

Significance. The work applies standard contraction techniques to supersymmetric settings and identifies potentially helpful features for building non-relativistic variants. If these features indeed aid construction, the discussion could support further model-building in areas such as condensed-matter applications or holographic duals. The contribution is primarily discursive rather than delivering explicit new theories, derivations, or proofs of utility, limiting its immediate impact but providing a useful starting point for subsequent work.

minor comments (2)

[Abstract/Introduction] The abstract and introduction refer to 'electric and magnetic non-relativistic theories' without a concise definition or reference to prior literature; adding this in the opening sections would improve clarity for readers unfamiliar with the terminology.
[Main discussion sections] The manuscript would benefit from at least one concrete example (e.g., a specific feature of the contracted SUSY algebra or a sample Lagrangian term) illustrating how the identified Galilean/Carrollian aspects translate to electric or magnetic constructions.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript and the recommendation for minor revision. Our work is intentionally focused on discussing features of non-relativistic supersymmetric theories obtained from Galilean and Carrollian contractions, with the aim of identifying aspects useful for constructing electric and magnetic variants, as stated in the abstract. No major comments were listed in the report.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper's content is limited to discussing features of non-relativistic supersymmetric theories obtained through standard Galilean and Carrollian contractions of relativistic parent theories. No load-bearing derivations, predictions, parameter fits, or uniqueness claims are made that reduce to the paper's own inputs by construction. The abstract and structure frame the work as exploratory discussion of potentially useful features, without asserting explicit constructions or self-referential results. This is a self-contained review-style analysis relying on established contraction techniques.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No specific free parameters, axioms, or invented entities are identifiable from the abstract; the work relies on standard concepts of relativistic contractions and supersymmetry.

pith-pipeline@v0.9.0 · 5329 in / 1002 out tokens · 34864 ms · 2026-05-10T18:00:35.018664+00:00 · methodology

discussion (0)

Forward citations

Cited by 2 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.

Reference graph

Works this paper leans on

20 extracted references · 19 canonical work pages · cited by 2 Pith papers · 2 internal anchors

[1]

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
[2]

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 Quantum Gravity31no. 8, (Apr., 2014) 085016. http://dx.doi.org/10.1088/0264-9381/31/8/085016

work page doi:10.1088/0264-9381/31/8/085016 2014
[3]

de Boer, J

J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren, “Carroll symmetry, dark energy and inflation.” 2021.https://arxiv.org/abs/2110.02319

work page arXiv 2021
[4]

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
[5]

Grumiller, L

D. Grumiller, L. Mele, and L. Montecchio, “Carroll spinors,” 9, 2025.arXiv:2509.19426 [hep-th]

work page arXiv 2025
[6]

Carrollian origin of spacetime subsystem symmetry,

O. Kasikci, M. Ozkan, and Y. Pang, “Carrollian origin of spacetime subsystem symmetry,”Phys. Rev. D108 no. 4, (2023) 045020,arXiv:2304.11331 [hep-th]

work page arXiv 2023
[7]

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
[8]

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
[9]

Carroll swiftons,

F. Ecker, D. Grumiller, M. Henneaux, and P. Salgado-Rebolledo, “Carroll swiftons,”Phys. Rev. D 110no. 4, (2024) L041901,arXiv:2403.00544 [hep-th]

work page arXiv 2024
[10]

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

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

work page arXiv
[11]

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
[12]

Newtonian Gravity and the Bargmann Algebra,

R. Andringa, E. Bergshoeff, S. Panda, and M. de Roo, “Newtonian Gravity and the Bargmann Algebra,” Class. Quant. Grav.28(2011) 105011, arXiv:1011.1145 [hep-th]

work page arXiv 2011
[13]

Bagchi, R

A. Bagchi, R. Basu, D. Grumiller, and M. Riegler, “Entanglement entropy in Galilean conformal field theories and flat holography,”Phys. Rev. Lett.114 no. 11, (2015) 111602,arXiv:1410.4089 [hep-th]

work page arXiv 2015
[14]

Newton–Cartan (super)gravity as a non-relativistic limit,

E. Bergshoeff, J. Rosseel, and T. Zojer, “Newton–Cartan (super)gravity as a non-relativistic limit,”Class. Quant. Grav.32no. 20, (2015) 205003, arXiv:1505.02095 [hep-th]

work page arXiv 2015
[15]

Newton-Cartan supergravity with torsion and Schr¨ odinger supergravity,

E. Bergshoeff, J. Rosseel, and T. Zojer, “Newton-Cartan supergravity with torsion and Schr¨ odinger supergravity,”JHEP11(2015) 180, arXiv:1509.04527 [hep-th]

work page arXiv 2015
[16]

Newton-Cartan Geometry and the Quantum Hall Effect,

D. T. Son, “Newton-Cartan Geometry and the Quantum Hall Effect,”arXiv:1306.0638 [cond-mat.mes-hall]

work page arXiv
[17]

Hartong, N

J. Hartong, N. A. Obers, and G. Oling, “Review on Non-Relativistic Gravity,”Front. in Phys.11(2023) 1116888,arXiv:2212.11309 [gr-qc]

work page arXiv 2023
[18]

A Twisted Origin for Magnetic Carroll Supersymmetry

I. Bulunur, O. Ergec, O. Kasikci, M. Ozkan, and M. S. Zog, “A twisted origin for magnetic carroll supersymmetry.” 2026. https://arxiv.org/abs/2603.28269

work page internal anchor Pith review Pith/arXiv arXiv 2026
[19]

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,”Physical Review D111no. 8, (Apr.,
[20]

http://dx.doi.org/10.1103/PhysRevD.111.085008

work page doi:10.1103/physrevd.111.085008