Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$ supersymmetric higher spins
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| Format: | Preprint |
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2021
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| _version_ | 1866909326476574720 |
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| author | Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita |
| author_facet | Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita |
| contents | We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields $h^{++}_{α(s-1)\dotα(s-1)}$, $h^{++}_{α(s-2)\dotα(s-2)}$ and two conjugated complex analytic spinor superfields $h^{+3}_{α(s-1)\dotα(s-2)}$, $h^{+3}_{α(s-2)\dotα(s-1)}\,$, where $α(s) := (α_1\ldots α_s), \dotα(s) := (\dotα_1\ldots \dotα_s)$. Like in the harmonic superspace formulations of ${\cal N}=2$ Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content $({\bf s, s-1/2, s-1/2, s-1})$ is restored. For ${\bf s}=2$ the action describes the linearized version of "minimal" ${\cal N}=2$ Einstein supergravity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2109_07639 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$ supersymmetric higher spins Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita High Energy Physics - Theory General Relativity and Quantum Cosmology We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields $h^{++}_{α(s-1)\dotα(s-1)}$, $h^{++}_{α(s-2)\dotα(s-2)}$ and two conjugated complex analytic spinor superfields $h^{+3}_{α(s-1)\dotα(s-2)}$, $h^{+3}_{α(s-2)\dotα(s-1)}\,$, where $α(s) := (α_1\ldots α_s), \dotα(s) := (\dotα_1\ldots \dotα_s)$. Like in the harmonic superspace formulations of ${\cal N}=2$ Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content $({\bf s, s-1/2, s-1/2, s-1})$ is restored. For ${\bf s}=2$ the action describes the linearized version of "minimal" ${\cal N}=2$ Einstein supergravity. |
| title | Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$ supersymmetric higher spins |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2109.07639 |