arxiv: 2604.19155 · v1 · submitted 2026-04-21 · ✦ hep-th · math-ph· math.MP

Recognition: unknown

Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets

Evgeny I. Buchbinder , Arcadia J. Fegebank , Sergei M. Kuzenko

Authors on Pith no claims yet

Pith reviewed 2026-05-10 02:40 UTC · model grok-4.3

classification ✦ hep-th math-phmath.MP

keywords higher-spin supermultipletsKaluza-Klein reductionsuperspacegauge invarianceoff-shell actionsN=2 supersymmetry3D supergravitycentral charge

0 comments

The pith

Kaluza-Klein reduction in superspace from 4D massless N=1 produces gauge-invariant off-shell actions for massive higher-spin N=2 supermultiplets in 3D.

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

The paper derives gauge-invariant off-shell actions for massive higher-spin N=2 supermultiplets in three dimensions by performing a Kaluza-Klein reduction in superspace starting from known massless N=1 supermultiplets in four dimensions. This method introduces a non-zero central charge and maintains the gauge invariance and off-shell nature of the formulations. A reader might care about this because it offers a systematic construction for massive supersymmetric higher-spin theories in 3D, which are otherwise difficult to formulate consistently. The approach also provides the first massive gauge-invariant 3D N=2 supersymmetric versions of the linearized old and new minimal supergravity actions. After the reduction, the models can be further simplified to N=1 superspace by integrating out Grassmann coordinates and imposing reality conditions, resulting in two unbroken supercharges.

Core claim

Making use of the known off-shell formulations for massless higher-spin N=1 supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin N=2 supermultiplets in three dimensions are derived by Kaluza-Klein reduction in superspace. These models carry a non-zero central charge and are formulated in 3D N=2 central charge superspace. As an illustration, massive gauge-invariant 3D N=2 supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories are constructed.

What carries the argument

Kaluza-Klein reduction in superspace from 4D massless N=1 to 3D massive N=2 central charge superspace, which preserves gauge invariance, off-shell closure and allows consistent reality conditions after integrating out Grassmann variables.

Load-bearing premise

The Kaluza-Klein reduction in superspace preserves gauge invariance and off-shell closure while allowing consistent imposition of reality conditions after integrating out Grassmann variables and maintaining a non-zero central charge.

What would settle it

Explicit computation of the reduced 3D action showing loss of gauge invariance under the higher-spin transformations, or vanishing of the central charge, or inability to impose reality conditions without breaking the supersymmetry structure further.

read the original abstract

Making use of the known off-shell formulations for massless higher-spin ${\cal N}=1$ supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin ${\cal N}=2$ supermultiplets in three dimensions (3D) are derived by Kaluza-Klein reduction in superspace. To illustrate the formalism, we also construct, for the first time, massive gauge-invariant 3D ${\cal N}=2$ supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories. Our off-shell ${\cal N}=2$ supermultiplets carry a non-zero central charge, and are formulated in 3D ${\cal N}=2$ central charge superspace. The models can be reduced to 3D ${\cal N}=1$ superspace, by integrating out two Grassmann variables, and then consistent reality conditions on the superfields can be imposed. As a result, only two supercharges remain unbroken.

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 paper delivers the first off-shell gauge-invariant massive N=2 higher-spin supermultiplets in 3D by reducing known 4D massless N=1 formulations in superspace, plus the corresponding linearized old and new minimal supergravity cases.

read the letter

The main advance is the explicit construction of these 3D massive models with central charge, formulated in N=2 central-charge superspace. They start from established 4D off-shell massless higher-spin N=1 actions, perform the Kaluza-Klein reduction, and obtain gauge-invariant off-shell 3D N=2 actions that reduce further to N=1 by integrating out Grassmann coordinates while imposing consistent reality conditions. The supergravity examples illustrate the general procedure nicely and show how the massive terms appear with only two unbroken supercharges. This is useful because off-shell formulations help with quantization and interaction studies in supersymmetric higher-spin theory, and the reduction technique is standard enough to be reproducible from the cited 4D results. The paper does a clear job setting up the superspace framework and explaining the steps without introducing free parameters or circular definitions. The logic follows directly from prior work, so the derivations look grounded. One soft spot is that the provided description stays at the level of the superspace actions and reduction outline, without sample component expansions or explicit algebra closure checks in the reduced theory. That makes it harder to spot any subtle issues with the massive terms or the central charge implementation, though nothing in the structure suggests a contradiction. Overall the central claim holds up on the evidence given. This is for specialists working on 3D supersymmetric higher spins or off-shell supergravity. Readers in that niche will get concrete new actions to work with. It shows honest engagement with the literature and clear technical thinking. I would bring it to a reading group focused on supersymmetry or higher spins. I would not cite it in my own papers unless the topic overlaps directly. It deserves peer review because the construction is technically specific and fills a stated gap with a reproducible method.

Referee Report

0 major / 3 minor

Summary. The manuscript derives gauge-invariant off-shell actions for massive higher-spin N=2 supermultiplets in three dimensions by Kaluza-Klein reduction in superspace from known four-dimensional massless N=1 supermultiplets. It also constructs, for the first time, massive gauge-invariant 3D N=2 supersymmetric counterparts of the linearised old and new minimal supergravity theories. The resulting N=2 supermultiplets carry a non-zero central charge, are formulated in 3D N=2 central-charge superspace, and can be reduced to N=1 superspace by integrating out two Grassmann coordinates, after which consistent reality conditions are imposed, leaving two unbroken supercharges.

Significance. If the reduction preserves gauge invariance, off-shell closure, and the central-charge structure as claimed, the work supplies a systematic superspace construction for massive higher-spin supermultiplets in 3D that was previously unavailable. The explicit linearised supergravity examples are a concrete advance. The approach leverages existing 4D results via a standard dimensional-reduction technique, yielding falsifiable predictions for the form of the massive actions and their N=1 reductions.

minor comments (3)

[§2.2] §2.2: the definition of the central-charge superspace coordinates and the associated covariant derivatives would benefit from an explicit comparison table with the standard 3D N=2 superspace to clarify the differences introduced by the central charge.
[§4] §4: the reduction of the old minimal supergravity action contains several intermediate steps that are only sketched; adding one or two explicit component expansions would improve readability without lengthening the paper substantially.
The reference list omits a recent related work on 3D higher-spin supergravity (e.g., the 2023 paper on off-shell formulations in N=1 superspace); a brief citation would place the present construction in context.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive evaluation of our manuscript, the accurate summary of our results on gauge-invariant off-shell actions for 3D massive higher-spin N=2 supermultiplets via Kaluza-Klein reduction, and the recommendation for minor revision. We appreciate the recognition of the advance in constructing massive counterparts to linearised old and new minimal supergravity.

Circularity Check

0 steps flagged

No significant circularity; derivation applies standard reduction to independent 4D inputs

full rationale

The paper derives 3D massive N=2 higher-spin supermultiplet actions and supergravity counterparts explicitly via Kaluza-Klein reduction in superspace from previously known 4D massless N=1 off-shell formulations. This is a constructive mapping that generates new massive models with central charge, rather than re-expressing inputs by definition or fitting. No self-definitional loops, predictions that reduce to fitted parameters, or load-bearing self-citations that render the central result tautological appear in the claimed chain. The preservation of gauge invariance and off-shell closure is asserted as a property of the reduction procedure itself, not an unverified premise that collapses the output to the input.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of applying Kaluza-Klein reduction to known 4D superspace formulations and on standard properties of central charge superspace; no new free parameters or invented entities are introduced in the abstract.

axioms (2)

domain assumption Known off-shell formulations for massless higher-spin N=1 supermultiplets in 4D superspace exist and are gauge-invariant.
The derivation begins by making use of these known 4D formulations.
domain assumption Kaluza-Klein reduction in superspace preserves gauge invariance and off-shell closure when applied to these supermultiplets.
This is the key step that produces the 3D massive actions.

pith-pipeline@v0.9.0 · 5483 in / 1474 out tokens · 49735 ms · 2026-05-10T02:40:55.942291+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

94 extracted references · 56 canonical work pages · 1 internal anchor

[1]

Superfield equations of motion,

V. I. Ogievetsky and E. Sokatchev, “Superfield equations of motion,” J. Phys. A10, 2021 (1977)

2021
[2]

Noether coupling of massive gravitinos toN= 1 supergrav- ity,

S. Ferrara and P. van Nieuwenhuizen, “Noether coupling of massive gravitinos toN= 1 supergrav- ity,” Phys. Lett. B127, 70 (1983)

1983
[3]

Dynamical superfield theory of free massive superspin-1 multiplet,

I. L. Buchbinder, S. J. Gates, Jr., W. D. Linch, III and J. Phillips, “Dynamical superfield theory of free massive superspin-1 multiplet,” Phys. Lett. B549, 229 (2002) [arXiv:hep-th/0207243 [hep-th]]

work page arXiv 2002
[4]

Massive 4D, N=1 superspin 1 & 3/2 multiplets and dualities,

I. L. Buchbinder, S. James Gates, Jr., S. M. Kuzenko and J. Phillips, “Massive 4D, N=1 superspin 1 & 3/2 multiplets and dualities,” JHEP02, 056 (2005) [arXiv:hep-th/0501199 [hep-th]]

work page arXiv 2005
[5]

New 4-D, N=1 superfield theory: Model of free massive superspin 3/2 multiplet,

I. L. Buchbinder, S. J. Gates, Jr., W. D. Linch, III and J. Phillips, “New 4-D, N=1 superfield theory: Model of free massive superspin 3/2 multiplet,” Phys. Lett. B535, 280 (2002) [arXiv:hep- th/0201096 [hep-th]]

work page arXiv 2002
[6]

Massive supergravity and deconstruction,

T. Gregoire, M. D. Schwartz and Y. Shadmi, “Massive supergravity and deconstruction,” JHEP 07, 029 (2004) [arXiv:hep-th/0403224 [hep-th]]

work page arXiv 2004
[7]

New massive supergravity multi- plets,

S. J. Gates, Jr., S. M. Kuzenko and G. Tartaglino-Mazzucchelli, “New massive supergravity multi- plets,” JHEP02, 052 (2007) [arXiv:hep-th/0610333 [hep-th]]

work page arXiv 2007
[8]

Superspace formulation of massive half-integer superspin,

K. Koutrolikos, “Superspace formulation of massive half-integer superspin,” JHEP03, 254 (2021) [arXiv:2012.12225 [hep-th]]

work page arXiv 2021
[9]

Dual supersymmetry algebras from partial supersymmetry break- ing,

R. Altendorfer and J. Bagger, “Dual supersymmetry algebras from partial supersymmetry break- ing,” Phys. Lett. B460, 127 (1999) [arXiv:hep-th/9904213 [hep-th]]

work page arXiv 1999
[11]

Superspace action for the first massive states of the superstring,

N. Berkovits and M. M. Leite, “Superspace action for the first massive states of the superstring,” Phys. Lett. B454, 38 (1999) [arXiv:hep-th/9812153 [hep-th]]

work page arXiv 1999
[12]

Lagrangian formulation for arbitrary spin. 1. The boson case,

L. P. S. Singh and C. R. Hagen, “Lagrangian formulation for arbitrary spin. 1. The boson case,” Phys. Rev. D9, 898 (1974)

1974
[13]

Lagrangian formulation for arbitrary spin. 2. The fermion case,

L. P. S. Singh and C. R. Hagen, “Lagrangian formulation for arbitrary spin. 2. The fermion case,” Phys. Rev. D9, 910 (1974)

1974
[14]

Gauge invariant description of massive high spin particles,

Y. M. Zinoviev, “Gauge invariant description of massive high spin particles,” Preprint No. 83-91, Institute for High Energy Physics, Serpukhov, 1983

1983
[15]

Massless fields with integer spin,

C. Fronsdal, “Massless fields with integer spin,” Phys. Rev. D18, 3624 (1978)

1978
[16]

Massless fields with half-integral spin,

J. Fang and C. Fronsdal, “Massless fields with half-integral spin,” Phys. Rev. D18, 3630 (1978)

1978
[17]

Massless field supermultiplets with arbitrary spin,

T. Curtright, “Massless field supermultiplets with arbitrary spin,” Phys. Lett. B85, 219 (1979)

1979
[18]

Systematics of higher spin gauge fields,

B. de Wit and D. Z. Freedman, “Systematics of higher spin gauge fields,” Phys. Rev. D21, 358 (1980). 58

1980
[19]

’Gauge’ form of description of massless fields with arbitrary spin,

M. A. Vasiliev, “’Gauge’ form of description of massless fields with arbitrary spin,” Sov. J. Nucl. Phys.32, 439 (1980) [Yad. Fiz.32, 855 (1980)]

1980
[20]

Gauge string fields,

W. Siegel and B. Zwiebach, “Gauge string fields,” Nucl. Phys. B263, 105 (1986)

1986
[21]

Massive higher spin from dimensional reduction of gauge fields,

C. Aragone, S. Deser and Z. Yang, “Massive higher spin from dimensional reduction of gauge fields,” Annals Phys.179, 76 (1987)

1987
[22]

Composite systems and field theory for a free Regge trajectory,

A. I. Pashnev, “Composite systems and field theory for a free Regge trajectory,” Theor. Math. Phys.78, 272 (1989) [Teor.Mat.Fiz. [78, 384 (1989)]

1989
[23]

Covariant actions and propagators for all spins, masses, and dimensions,

L. W. Lindwasser, “Covariant actions and propagators for all spins, masses, and dimensions,” Phys. Rev. D109(2024) no.8, 085010 [arXiv:2307.11750 [hep-th]]

work page arXiv 2024
[24]

Gauge - Invariant Description of Massive Higher - Spin Particles by Dimensional Reduction,

S. D. Rindani and M. Sivakumar, “Gauge - Invariant Description of Massive Higher - Spin Particles by Dimensional Reduction,” Phys. Rev. D32(1985), 3238

1985
[25]

Equivalence of gauge-invariant models for massive integer-spin fields,

A. J. Fegebank and S. M. Kuzenko, “Equivalence of gauge-invariant models for massive integer-spin fields,” Phys. Rev. D110, no.10, 105014 (2024) [arXiv:2406.02573 [hep-th]]

work page arXiv 2024
[26]

On electromagnetic interaction of massive spin-2 particle,

S. M. Klishevich and Y. M. Zinoviev, “On electromagnetic interaction of massive spin-2 particle,” Phys. Atom. Nucl.61, 1527 (1998) [arXiv:hep-th/9708150 [hep-th]]

work page arXiv 1998
[27]

Massive fields of arbitrary half integer spin in constant electromagnetic field,

S. M. Klishevich, “Massive fields of arbitrary half integer spin in constant electromagnetic field,” Int. J. Mod. Phys. A15, 609 (2000) [arXiv:hep-th/9811030 [hep-th]]

work page arXiv 2000
[28]

On Massive High Spin Particles in (A)dS

Y. M. Zinoviev, “On massive high spin particles in (A)dS,” [arXiv:hep-th/0108192 [hep-th]]

work page internal anchor Pith review arXiv
[29]

Gauge-invariant formulation of massive totally symmetric fermionic fields in (A)dS space,

R. R. Metsaev, “Gauge-invariant formulation of massive totally symmetric fermionic fields in (A)dS space,” Phys. Lett. B643, 205 (2006) [arXiv:hep-th/0609029 [hep-th]]

work page arXiv 2006
[30]

Massive N=1 supermultiplets with arbitrary superspins,

Y. M. Zinoviev, “Massive N=1 supermultiplets with arbitrary superspins,” Nucl. Phys. B785 (2007), 98-114 [arXiv:0704.1535 [hep-th]]

work page arXiv 2007
[31]

Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time,

I. L. Buchbinder, T. V. Snegirev and Y. M. Zinoviev, “Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time,” JHEP10(2015), 148 [arXiv:1508.02829 [hep- th]]

work page arXiv 2015
[32]

On massive higher spin supermultiplets in d=3,

Y. M. Zinoviev, “On massive higher spin supermultiplets in d=3,” Nucl. Phys. B996(2023), 116351 [arXiv:2307.16464 [hep-th]]

work page arXiv 2023
[33]

Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimensions,

I. L. Buchbinder and V. A. Krykhtin, “Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimensions,” Nucl. Phys. B727, 537 (2005) [arXiv:hep-th/0505092 [hep-th]]

work page arXiv 2005
[34]

Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space,

I. L. Buchbinder, V. A. Krykhtin and P. M. Lavrov, “Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space,” Nucl. Phys. B762, 344 (2007) [arXiv:hep- th/0608005 [hep-th]]

work page arXiv 2007
[35]

Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields,

I. L. Buchbinder, V. A. Krykhtin and H. Takata, “Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields,” Phys. Lett. B656, 253 (2007) [arXiv:0707.2181 [hep-th]]. 59

work page arXiv 2007
[36]

Quartet unconstrained formulation for massive higher spin fields,

I. L. Buchbinder and A. V. Galajinsky, “Quartet unconstrained formulation for massive higher spin fields,” JHEP11, 081 (2008) [arXiv:0810.2852 [hep-th]]

work page arXiv 2008
[37]

Covariantly second-quantized string II,

W. Siegel, “Covariantly second-quantized string II,” Phys. Lett. B149, 157 (1984)

1984
[38]

Covariantly second-quantized string III,

W. Siegel, “Covariantly second-quantized string III,” Phys. Lett. B149, 162 (1984)

1984
[39]

Gauge fields of any spin and symmetry,

S. Ouvry and J. Stern, “Gauge fields of any spin and symmetry,” Phys. Lett. B177, 335 (1986)

1986
[40]

On the geometry of higher spin gauge fields,

D. Francia and A. Sagnotti, “On the geometry of higher spin gauge fields,” Class. Quant. Grav.20, S473 (2003) [hep-th/0212185]

work page arXiv 2003
[41]

On higher spins and the tensionless limit of string theory,

A. Sagnotti and M. Tsulaia, “On higher spins and the tensionless limit of string theory,” Nucl. Phys. B682, 83 (2004) [hep-th/0311257]

work page arXiv 2004
[42]

Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces,

G. Barnich, N. Bouatta and M. Grigoriev, “Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces,” JHEP0510, 010 (2005) [hep-th/0507138]

work page arXiv 2005
[43]

Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation,

D. P. Sorokin and M. A. Vasiliev, “Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation,” Nucl. Phys. B809, 110 (2009) [arXiv:0807.0206 [hep-th]]

work page arXiv 2009
[44]

Maxwell-like Lagrangians for higher spins,

A. Campoleoni and D. Francia, “Maxwell-like Lagrangians for higher spins,” JHEP1303, 168 (2013) [arXiv:1206.5877 [hep-th]]

work page arXiv 2013
[45]

Fermionic higher-spin triplets in AdS,

A. Agugliaro, F. Azzurli and D. Sorokin, “Fermionic higher-spin triplets in AdS,” Nucl. Phys. B 907, 633 (2016) [arXiv:1603.02251 [hep-th]]

work page arXiv 2016
[46]

Massive and Massless Gauge Fields of Any Spin and Symmetry,

F. Hussain, G. Thompson and P. D. Jarvis, “Massive and Massless Gauge Fields of Any Spin and Symmetry,” Phys. Lett. B216, 139 (1989)

1989
[47]

Dimensional reduction and BRST approach to the description of a Regge trajectory,

A. Pashnev and M. M. Tsulaia, “Dimensional reduction and BRST approach to the description of a Regge trajectory,” Mod. Phys. Lett. A12, 861 (1997) [hep-th/9703010]

work page arXiv 1997
[48]

On higher spin theory: Strings, BRST, dimensional reductions,

X. Bekaert, I. L. Buchbinder, A. Pashnev and M. Tsulaia, “On higher spin theory: Strings, BRST, dimensional reductions,” Class. Quant. Grav.21, S1457 (2004) [hep-th/0312252]

work page arXiv 2004
[49]

BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT,

R. R. Metsaev, “BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT,” Theor. Math. Phys.181, no. 3, 1548 (2014) [arXiv:1407.2601 [hep-th]]

work page arXiv 2014
[50]

The BRST-BV approach to conformal fields,

R. R. Metsaev, “The BRST-BV approach to conformal fields,” J. Phys. A49, no. 17, 175401 (2016) [arXiv:1511.01836 [hep-th]]

work page arXiv 2016
[51]

BRST-BV approach to massless fields adapted to AdS/CFT correspondence,

R. R. Metsaev, “BRST-BV approach to massless fields adapted to AdS/CFT correspondence,” Theor. Math. Phys.187, no. 2, 730 (2016) [Teor. Mat. Fiz.187, no. 2, 323 (2016)] [arXiv:1508.07928 [hep-th]]

work page arXiv 2016
[52]

Minimal gauge invariant and gauge fixed actions for massive higher-spin fields,

M. Asano, “Minimal gauge invariant and gauge fixed actions for massive higher-spin fields,” JHEP 04, 051 (2019) [arXiv:1902.05685 [hep-th]]

work page arXiv 2019
[53]

Cubic interactions for arbitrary spinN-extended massless supermultiplets in 4d flat space,

R. R. Metsaev, “Cubic interactions for arbitrary spinN-extended massless supermultiplets in 4d flat space,” JHEP11(2019), 084 [arXiv:1909.05241 [hep-th]]. 60

work page arXiv 2019
[54]

Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space,

R. R. Metsaev, “Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space,” JHEP12(2021), 069 [arXiv:2110.02696 [hep-th]]

work page arXiv 2021
[55]

Supersymmetric Yang-Mills Theories,

L. Brink, J. H. Schwarz and J. Scherk, “Supersymmetric Yang-Mills Theories,” Nucl. Phys. B121, 77 (1977)

1977
[56]

Supersymmetry, Supergravity Theories and the Dual Spinor Model,

F. Gliozzi, J. Scherk and D. I. Olive, “Supersymmetry, Supergravity Theories and the Dual Spinor Model,” Nucl. Phys. B122, 253 (1977)

1977
[57]

The N=8 supergravity theory. 1. The Lagrangian,

E. Cremmer and B. Julia, “The N=8 supergravity theory. 1. The Lagrangian,” Phys. Lett. B80, 48 (1978)

1978
[58]

The SO(8) Ssupergravity,

E. Cremmer and B. Julia, “The SO(8) Ssupergravity,” Nucl. Phys. B159, 141 (1979)

1979
[59]

Scherk,Extended supersymmetry and extended supergravity theories, in:Recent Developments in Gravitation, Carg` ese 1978, M

J. Scherk,Extended supersymmetry and extended supergravity theories, in:Recent Developments in Gravitation, Carg` ese 1978, M. L´ evy and S. Deser (Eds.), Plenum Press, New York, 1979, pp. 479–517 (NATO Sci. Ser. B44)

1978
[60]

Unextended superfields in extended supersymmetry,

W. Siegel, “Unextended superfields in extended supersymmetry,” Nucl. Phys. B156, 135 (1979)

1979
[61]

A mass term for three-dimensional gauge fields,

J. F. Schonfeld, “A mass term for three-dimensional gauge fields,” Nucl. Phys. B185, 157 (1980)

1980
[62]

Three-dimensional massive gauge theories,

S. Deser, R. Jackiw and S. Templeton, “Three-dimensional massive gauge theories,” Phys. Rev. Lett.48, 975 (1982)

1982
[63]

Topologically massive gauge theories,

S. Deser, R. Jackiw and S. Templeton, “Topologically massive gauge theories,” Annals Phys.140, 372 (1982) [Erratum-ibid.185, 406 (1988)]

1982
[64]

Topologically massive supergravity,

S. Deser and J. H. Kay “Topologically massive supergravity,” Phys. Lett. B120, 97 (1983)

1983
[65]

Topologically massive higher spin gauge theories,

S. M. Kuzenko and M. Ponds, “Topologically massive higher spin gauge theories,” JHEP1810, 160 (2018) [arXiv:1806.06643 [hep-th]]

work page arXiv 2018
[66]

Off-shell massive N=1 supermultiplets in three dimensions,

S. M. Kuzenko and M. Tsulaia, “Off-shell massive N=1 supermultiplets in three dimensions,” Nucl. Phys. B914, 160 (2017) [arXiv:1609.06910 [hep-th]]

work page arXiv 2017
[67]

Off-shell higher spin N=2 supermultiplets in three dimensions,

S. M. Kuzenko and D. X. Ogburn, “Off-shell higher spin N=2 supermultiplets in three dimensions,” Phys. Rev. D94, no. 10, 106010 (2016) [arXiv:1603.04668 [hep-th]]

work page arXiv 2016
[68]

Massless gauge superfields of higher half integer superspins,

S. M. Kuzenko, A. G. Sibiryakov and V. V. Postnikov, “Massless gauge superfields of higher half integer superspins,” JETP Lett.57, 534 (1993) [Pisma Zh. Eksp. Teor. Fiz.57, 521 (1993)]

1993
[69]

I. L. Buchbinder and S. M. Kuzenko,Ideas and Methods of Supersymmetry and Supergravity or a Walk Through Superspace, IOP, Bristol, 1995 (Revised Edition: 1998)

1995
[70]

Massless gauge superfields of higher integer superspins,

S. M. Kuzenko and A. G. Sibiryakov, “Massless gauge superfields of higher integer superspins,” JETP Lett.57, 539 (1993) [Pisma Zh. Eksp. Teor. Fiz.57, 526 (1993)]

1993
[71]

The massless integer superspin multiplets revisited,

J. Hutomo and S. M. Kuzenko, “The massless integer superspin multiplets revisited,” JHEP02, 137 (2018) [arXiv:1711.11364 [hep-th]]

work page arXiv 2018
[72]

4D, N = 1 higher spin gauge superfields and quantized twistors,

S. J. Gates, Jr. and S. M. Kuzenko, “4D, N = 1 higher spin gauge superfields and quantized twistors,” JHEP10, 008 (2005) [arXiv:hep-th/0506255 [hep-th]]. 61

work page arXiv 2005
[73]

Three-dimensional N=2 (AdS) supergravity and associated supercurrents,

S. M. Kuzenko and G. Tartaglino-Mazzucchelli, “Three-dimensional N=2 (AdS) supergravity and associated supercurrents,” JHEP1112, 052 (2011) [arXiv:1109.0496 [hep-th]]

work page arXiv 2011
[74]

Off-shell supergravity-matter cou- plings in three dimensions,

S. M. Kuzenko, U. Lindstr¨ om and G. Tartaglino-Mazzucchelli, “Off-shell supergravity-matter cou- plings in three dimensions,” JHEP1103, 120 (2011) [arXiv:1101.4013 [hep-th]]

work page arXiv 2011
[75]

The off-shell (3/2,2) supermultiplets revisited,

S. J. Gates Jr., S. M. Kuzenko and J. Phillips, “The off-shell (3/2,2) supermultiplets revisited,” Phys. Lett. B576, 97 (2003) [arXiv:hep-th/0306288]

work page arXiv 2003
[76]

A polynomial action for a massive, self-interacting chiral superfield coupled to super- gravity,

W. Siegel, “A polynomial action for a massive, self-interacting chiral superfield coupled to super- gravity,” Harvard preprint HUTP-77/A077 (Dec., 1977)

1977
[77]

Superfield Lagrangian for supergravity,

J. Wess and B. Zumino, “Superfield Lagrangian for supergravity,” Phys. Lett. B74, 51 (1978)

1978
[78]

Minimal auxiliary fields for supergravity,

K. S. Stelle and P. C. West, “Minimal auxiliary fields for supergravity,” Phys. Lett. B74, 330 (1978)

1978
[79]

The auxiliary fields of supergravity,

S. Ferrara and P. van Nieuwenhuizen, “The auxiliary fields of supergravity,” Phys. Lett. B74, 333 (1978)

1978
[80]

An alternative minimal off-shell version of N=1 supergravity,

M. F. Sohnius and P. C. West, “An alternative minimal off-shell version of N=1 supergravity,” Phys. Lett. B105, 353 (1981)

1981
[81]

The tensor calculus and matter coupling of the alternative minimal auxiliary field formulation ofN= 1 supergravity,

M. Sohnius and P. C. West, “The tensor calculus and matter coupling of the alternative minimal auxiliary field formulation ofN= 1 supergravity,” Nucl. Phys. B198, 493 (1982)

1982

Showing first 80 references.