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PreprintarXiv licencearXiv

Eynard-Orantin Topological Recursions for Higher Weil-Petersson Volumes on Moduli Spaces of Super Riemann Surfaces

  • Dingkang Xiong
  • Jian Zhou
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Abstract

We derive an Eynard-Orantin topological recursion for intersection numbers involving Norbury's Θ-class together with ψ-classes and higher κ-classes. These intersection numbers encode higher Weil-Petersson volumes of moduli spaces of super Riemann surfaces. The resulting recursion is a higher-κ deformation of the topological recursion associated with the Bessel curve, which encodes the Brézin-Gross-Witten model.

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Cite

BibTeXRIS
BibTeX
@misc{xiong2026eynardorantin,
  title = {{Eynard-Orantin Topological Recursions for Higher Weil-Petersson Volumes on Moduli Spaces of Super Riemann Surfaces}},
  author = {Dingkang Xiong and Jian Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01497},
  eprint = {2611.01497},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01497},
}
RIS
TY  - UNPB
TI  - Eynard-Orantin Topological Recursions for Higher Weil-Petersson Volumes on Moduli Spaces of Super Riemann Surfaces
AU  - Dingkang Xiong
AU  - Jian Zhou
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01497
UR  - https://arxiv.org/abs/2611.01497
AB  - We derive an Eynard-Orantin topological recursion for intersection numbers involving Norbury's Θ-class together with ψ-classes and higher κ-classes. These intersection numbers encode higher Weil-Petersson volumes of moduli spaces of super Riemann surfaces. The resulting recursion is a higher-κ deformation of the topological recursion associated with the Bessel curve, which encodes the Brézin-Gross-Witten model.
ER  -