Superintegrability and Kontsevich-Hermitian relation

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...

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Bibliographic Details
Main Authors: A. Mironov, A. Morozov
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321002082
Description
Summary: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.
ISSN:0370-2693