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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Autores principales:	A. Mironov, V. Mishnyakov, A. Morozov
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e7a38930efeb4ae59f175355bc53fe3e
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spelling	oai:doaj.org-article:e7a38930efeb4ae59f175355bc53fe3e2021-12-04T04:32:23ZNon-Abelian W-representation for GKM0370-269310.1016/j.physletb.2021.136721https://doaj.org/article/e7a38930efeb4ae59f175355bc53fe3e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006614https://doaj.org/toc/0370-2693W-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.A. MironovV. MishnyakovA. MorozovElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136721- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 A. Mironov V. Mishnyakov A. Morozov Non-Abelian W-representation for GKM
description	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.
format	article
author	A. Mironov V. Mishnyakov A. Morozov
author_facet	A. Mironov V. Mishnyakov A. Morozov
author_sort	A. Mironov
title	Non-Abelian W-representation for GKM
title_short	Non-Abelian W-representation for GKM
title_full	Non-Abelian W-representation for GKM
title_fullStr	Non-Abelian W-representation for GKM
title_full_unstemmed	Non-Abelian W-representation for GKM
title_sort	non-abelian w-representation for gkm
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e7a38930efeb4ae59f175355bc53fe3e
work_keys_str_mv	AT amironov nonabelianwrepresentationforgkm AT vmishnyakov nonabelianwrepresentationforgkm AT amorozov nonabelianwrepresentationforgkm
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Non-Abelian W-representation for GKM

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