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

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arxiv 2501.05806 v1 pith:QQYSV26X submitted 2025-01-10 math.AG math-phmath.COmath.MP

Xuanyu Huang , Kefeng Liu , Hao Xu This is my paper · ORCID
classification math.AGmath-phmath.COmath.MP
keywords formulasupermodulirecursionriemannspacestanford-wittensurfaces
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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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  1. Combinatorics and large genus asymptotics of the Br\'ezin--Gross--Witten numbers

    math-ph 2024-12 accept novelty 6.0 of 10

    The normalized Brézin-Gross-Witten numbers satisfy C(d) = 1/π + O(1/g(d)) uniformly in the number of marked points, with a polynomial structure in the large genus expansion.

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