Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912182730489856 |
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| author | Huang, Xuanyu Liu, Kefeng Xu, Hao |
| author_facet | Huang, Xuanyu Liu, Kefeng Xu, Hao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces Huang, Xuanyu Liu, Kefeng Xu, Hao Algebraic Geometry Mathematical Physics Combinatorics 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. |
| title | Higher Weil-Petersson volumes of the moduli space of super Riemann surfaces |
| topic | Algebraic Geometry Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2501.05806 |