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arXiv · 2608.27308

Wess-Zumino gauge for analytic prepotentials of off-shell $\mathcal{N}=2$ supergravity: bosonic sector

Nikita Zaigraev·Julia Zernina
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Abstract

We present a comprehensive study of the Wess-Zumino gauge for the analytic prepotentials of the off-shell $\mathcal{N}=2$ Weyl and $\mathcal{N}=2$ Einstein supergravities (the version with a non-linear tensor compensator). The field redefinitions, the full transformation laws, and the gauge superparameters that preserve the Wess-Zumino gauge are derived. As a concrete application of the obtained results, we examine the component structure of the free hypermultiplet action coupled to $\mathcal{N}=2$ supergravity. In this work, we restrict our analysis strictly to the bosonic sector.

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Nikita Zaigraev, Julia Zernina. 2026-08-27. Wess-Zumino gauge for analytic prepotentials of off-shell $\mathcal{N}=2$ supergravity: bosonic sector. https://arxiv.org/abs/2608.27308

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