Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911611482013696 |
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| author | Buchbinder, Evgeny I. Fegebank, Arcadia J. Kuzenko, Sergei M. |
| author_facet | Buchbinder, Evgeny I. Fegebank, Arcadia J. Kuzenko, Sergei M. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_19155 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets Buchbinder, Evgeny I. Fegebank, Arcadia J. Kuzenko, Sergei M. High Energy Physics - Theory Mathematical Physics 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. |
| title | Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.19155 |