Non-Abelian W-representation for GKM

W-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It is well known for numerous eigenvalue matrix models, when the relevant operators are of a kind of W-operators: for the Herm...

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Bibliographic Details
Main Authors: A. Mironov, V. Mishnyakov, A. Morozov
Format: article
Language:EN
Published: Elsevier 2021
Subjects:
Online Access:https://doaj.org/article/e7a38930efeb4ae59f175355bc53fe3e
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Summary:W-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It is well known for numerous eigenvalue matrix models, when the relevant operators are of a kind of W-operators: for the Hermitian matrix model with the Virasoro constraints, it is a W3-like operator, and so on. We extend this statement to the monomial generalized Kontsevich models (GKM), where the new feature is appearance of an ordered P-exponential for the set of non-commuting operators of different gradings.