Superintegrability and Kontsevich-Hermitian relation

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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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
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spelling doaj-decaa15a8f084d6fba07ea3b3580806b2021-04-08T04:17:53ZengElsevierPhysics Letters B0370-26932021-05-01816136268Superintegrability and Kontsevich-Hermitian relationA. Mironov0A. Morozov1Lebedev Physics Institute, Moscow 119991, Russia; ITEP, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, Russia; Corresponding author.MIPT, Dolgoprudny, 141701, Russia; ITEP, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, RussiaWe 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.http://www.sciencedirect.com/science/article/pii/S0370269321002082
collection DOAJ
language English
format Article
sources DOAJ
author A. Mironov
A. Morozov
spellingShingle A. Mironov
A. Morozov
Superintegrability and Kontsevich-Hermitian relation
Physics Letters B
author_facet A. Mironov
A. Morozov
author_sort A. Mironov
title Superintegrability and Kontsevich-Hermitian relation
title_short Superintegrability and Kontsevich-Hermitian relation
title_full Superintegrability and Kontsevich-Hermitian relation
title_fullStr Superintegrability and Kontsevich-Hermitian relation
title_full_unstemmed Superintegrability and Kontsevich-Hermitian relation
title_sort superintegrability and kontsevich-hermitian relation
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2021-05-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S0370269321002082
work_keys_str_mv AT amironov superintegrabilityandkontsevichhermitianrelation
AT amorozov superintegrabilityandkontsevichhermitianrelation
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