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arXiv · 2501.05806

Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces

Xuanyu Huang·Kefeng Liu·Hao Xu
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Abstract

Inspired by the theory of JT supergravity, Stanford-Witten derived a remarkable recursion formula of Weil-Petersson volumes of moduli space of super Riemann surfaces. It is the super version of the celebrated Mirzakhani's recursion formula. In this paper, we generalize Stanford-Witten's formula to include high degree kappa classes.

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Xuanyu Huang, Kefeng Liu, Hao Xu. 2025-01-10. Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces. https://arxiv.org/abs/2501.05806

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