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arXiv · 2007.13186

$\mathcal{N}=1$ Super Topological Recursion

Vincent Bouchard·Kento Osuga
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Abstract

We introduce the notion of $\mathcal{N}=1$ abstract super loop equations, and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard-Orantin topological recursion, based on the geometry of a local super spectral curve. The second approach is based on the framework of super Airy structures. The resulting recursive formalism can be applied to compute correlation functions for a variety of examples related to 2d supergarvity.

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Vincent Bouchard, Kento Osuga. 2020-07-26. $\mathcal{N}=1$ Super Topological Recursion. https://doi.org/10.1007/s11005-021-01479-x

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