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arXiv · 2503.02438

Towards $\mathcal{N}=2$ higher-spin supergravity

Ioseph Buchbinder·Evgeny Ivanov·Nikita Zaigraev
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Abstract

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.

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Ioseph Buchbinder, Evgeny Ivanov, Nikita Zaigraev. 2025-03-04. Towards $\mathcal{N}=2$ higher-spin supergravity. https://arxiv.org/abs/2503.02438

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