Superintegrability and Kontsevich-Hermitian relation

Abstract

We analyze the well-known equivalence between the quadratic Kontsevich-Penner and Hermitian matrix models from the point of view of superintegrability relations, i.e. explicit formulas for character averages. This is not that trivial on the Kontsevich side and seems important for further studies of various deformations of Kontsevich models. In particular, the Brezin-Hikami extension of the above equivalence becomes straightforward.

4 pages

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Cited by in corpus (4)

• CFT approach to constraint operators for ($\beta$-deformed) hermitian one-matrix models
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• Harer-Zagier formulas for knot matrix models
• Deformation of superintegrability in the Miwa-deformed Gaussian matrix model