Towards $\mathcal{N}=2$ higher-spin supergravity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909524517978112 |
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| author | Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita |
| author_facet | Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita |
| contents | We review the superfield formulation of $\mathcal{N}=2$ higher-spin supergravity theory in harmonic superspace. The analysis of both the hypermultiplet higher-spin supersymmetries and conformal supersymmetries is performed. The analytic superspace gauging of these symmetries gives rise to a set of unconstrained analytical prepotentials describing $\mathcal{N}=2$ higher-spin off-shell supermultiplets. This procedure naturally yields cubic interaction vertices of $\mathcal{N}=2$ higher spins with the hypermultiplet. Based on these results, the consistent interaction of an infinite tower of $\mathcal{N}=2$ superconformal higher spins with hypermultiplet is presented. Proceeding from this model, a method to construct a consistent interacting theory of $\mathcal{N}=2$ higher-spin supergravity by making use of the conformal compensators is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards $\mathcal{N}=2$ higher-spin supergravity Buchbinder, Ioseph Ivanov, Evgeny Zaigraev, Nikita High Energy Physics - Theory General Relativity and Quantum Cosmology We review the superfield formulation of $\mathcal{N}=2$ higher-spin supergravity theory in harmonic superspace. The analysis of both the hypermultiplet higher-spin supersymmetries and conformal supersymmetries is performed. The analytic superspace gauging of these symmetries gives rise to a set of unconstrained analytical prepotentials describing $\mathcal{N}=2$ higher-spin off-shell supermultiplets. This procedure naturally yields cubic interaction vertices of $\mathcal{N}=2$ higher spins with the hypermultiplet. Based on these results, the consistent interaction of an infinite tower of $\mathcal{N}=2$ superconformal higher spins with hypermultiplet is presented. Proceeding from this model, a method to construct a consistent interacting theory of $\mathcal{N}=2$ higher-spin supergravity by making use of the conformal compensators is proposed. |
| title | Towards $\mathcal{N}=2$ higher-spin supergravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.02438 |