Natanzon-Orlov model and refined superintegrability
A. Mironov, V. Mishnyakov, A. Morozov, A. Zhabin
TL;DR
This paper revisits the Natanzon-Orlov matrix model for Hurwitz numbers, exploring its superintegrability and proposing a potential supersymmetric extension to study spin Hurwitz numbers.
Contribution
It introduces a supersymmetric extension of the matrix model to analyze spin Hurwitz numbers, building on the superintegrability property of the complex matrix model.
Findings
Reconsideration of the matrix model description of Hurwitz numbers.
Proposal of a supersymmetric extension for spin Hurwitz numbers.
Discussion of superintegrability in the context of these models.
Abstract
We reconsider the simple matrix model description of Hurwitz numbers proposed by S. Natanzon and A. Orlov, which uses the superintegrability property of the complex matrix model, and discuss a way of its possible supersymmetric extension to approach spin Hurwitz numbers.
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