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N = 1 super topological recursion.

Vincent BouchardKento Osuga
Published in: Letters in mathematical physics (2021)
We introduce the notion of 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 supergravity.
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