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arXiv · 2512.12682

$\mathcal{N} = (0, 2)$ higher-spin supergravity in AdS$_3$

Zisong Cao
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Abstract

In this paper we generalize Vasiliev's higher-spin gravity theory in 3d into $\mathcal{N} = (0, 2)$ case, by which we mean that the asymptotic symmetry of such a gravity theory have the structure of 2d $\mathcal{N} = (0, 2)$ superconformal algebra. While the construction is limited to linearized level, asymptotic symmetry and possible matter content of such theories is discussed. Also, the 1-loop partition function of this theory around thermal Euclidean AdS space-time, with different matter fields, is calculated by heat-kernel method.

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Zisong Cao. 2025-12-14. $\mathcal{N} = (0, 2)$ higher-spin supergravity in AdS$_3$. https://arxiv.org/abs/2512.12682

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