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Peer-reviewedCC BY 4.0Journal of High Energy Physics

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

  • Evgeny I. Buchbinder1
  • Arcadia J. Fegebank1
  • Sergei M. Kuzenko1
  1. 1The University of Western Australia
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Abstract

A bstract : 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 (3D) are derived by Kaluza-Klein reduction in superspace. To illustrate the formalism, we also construct, for the first time, massive gauge-invariant 3D 𝒩 = 2 supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories. Our off-shell 𝒩 = 2 supermultiplets carry a non-zero central charge, and are formulated in 3D 𝒩 = 2 central charge superspace. The models can be reduced to 3D 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.

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Cite

BibTeXRIS
BibTeX
@article{buchbinder2026gaugeinvariant,
  title = {{Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets}},
  author = {Evgeny I. Buchbinder and Arcadia J. Fegebank and Sergei M. Kuzenko},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)198},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)198},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets
AU  - Evgeny I. Buchbinder
AU  - Arcadia J. Fegebank
AU  - Sergei M. Kuzenko
PY  - 2026
DA  - 2026/10/19
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)198
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)198
AB  - A bstract : 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 (3D) are derived by Kaluza-Klein reduction in superspace. To illustrate the formalism, we also construct, for the first time, massive gauge-invariant 3D 𝒩 = 2 supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories. Our off-shell 𝒩 = 2 supermultiplets carry a non-zero central charge, and are formulated in 3D 𝒩 = 2 central charge superspace. The models can be reduced to 3D 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.
SN  - 1029-8479
ER  -