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

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.

47 pages, submitted/accepted version to LMP, more details in Section 2.2 added, typos corrected

References in corpus (13)

• Open string amplitudes and large order behavior in topological string theory
• Remodeling the B-model
• Algebraic methods in random matrices and enumerative geometry
• Think globally, compute locally
• Hurwitz numbers, matrix models and enumerative geometry
• The ABCD of topological recursion
• Super-quantum curves from super-eigenvalue models
• Super Quantum Airy Structures
• From CFT to Ramond super-quantum curves
• Correlators in the supereigenvalue model in the Ramond sector
• Supereigenvalue Models and Topological Recursion
• Topological Recursion in The Ramond Sector
• The SYZ mirror symmetry and the BKMP remodeling conjecture

Cited by in corpus (3)

• Super Quantum Airy Structures
• Topological Recursion in The Ramond Sector
• Super Topological Recursion and Gaiotto Vectors For Superconformal Blocks