Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces (2501.05806v1)

Published 10 Jan 2025 in math.AG, math-ph, math.CO, and math.MP

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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