Eynard-Orantin Topological Recursions for Higher Weil-Petersson Volumes on Moduli Spaces of Super Riemann Surfaces
Dingkang Xiong, Jian Zhou
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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