mathcal{N}=1$ Super Topological Recursion

Lett Math Phys 111, 144 (2021) 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,...

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Bibliographic Details
Main Authors: Bouchard, Vincent, Osuga, Kento
Format: Journal Article
Language:English
Published: 26-07-2020
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Summary:Lett Math Phys 111, 144 (2021) 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.
DOI:10.48550/arxiv.2007.13186