Natanzon-Orlov model and refined superintegrability

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.

6 pages

References in corpus (3)

• On the complete perturbative solution of one-matrix models
• Correlators in tensor models from character calculus
• Superintegrability of Kontsevich matrix model

Cited by in corpus (1)

• Superintegrability for ($\beta$-deformed) partition function hierarchies with $W$-representations