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.

arXiv comment6 pages

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Cited by in corpus (4)

• Superintegrability for ($\beta$-deformed) partition function hierarchies with $W$-representations
• 3-Schurs from explicit representation of Yangian $Y({\widehat{\mathfrak{gl}}}_1)$. Levels 1-5
• Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
• Tau functions of the UC hierarchy as partition functions of matrix models