Unitary matrix with a Penner-like potential also yields Nf = 2

It has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 Nf=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, alth...

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Main Authors: Shun'ya Mizoguchi, Hajime Otsuka, Hitomi Tashiro
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931930797X
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spelling doaj-b9234a3f087a40628c97b7ae0ae8b9862020-11-25T01:16:34ZengElsevierPhysics Letters B0370-26932020-01-01800Unitary matrix with a Penner-like potential also yields Nf = 2Shun'ya Mizoguchi0Hajime Otsuka1Hitomi Tashiro2Theory Center, Institute of Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki, 305-0801, Japan; SOKENDAI (The Graduate University for Advanced Studies), Tsukuba, Ibaraki, 305-0801, Japan; Corresponding author.Theory Center, Institute of Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki, 305-0801, JapanSOKENDAI (The Graduate University for Advanced Studies), Tsukuba, Ibaraki, 305-0801, JapanIt has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 Nf=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, although the parameter identifications are slightly different. This result has been anticipated by Itoyama et al.http://www.sciencedirect.com/science/article/pii/S037026931930797X
collection DOAJ
language English
format Article
sources DOAJ
author Shun'ya Mizoguchi
Hajime Otsuka
Hitomi Tashiro
spellingShingle Shun'ya Mizoguchi
Hajime Otsuka
Hitomi Tashiro
Unitary matrix with a Penner-like potential also yields Nf = 2
Physics Letters B
author_facet Shun'ya Mizoguchi
Hajime Otsuka
Hitomi Tashiro
author_sort Shun'ya Mizoguchi
title Unitary matrix with a Penner-like potential also yields Nf = 2
title_short Unitary matrix with a Penner-like potential also yields Nf = 2
title_full Unitary matrix with a Penner-like potential also yields Nf = 2
title_fullStr Unitary matrix with a Penner-like potential also yields Nf = 2
title_full_unstemmed Unitary matrix with a Penner-like potential also yields Nf = 2
title_sort unitary matrix with a penner-like potential also yields nf = 2
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-01-01
description It has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 Nf=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, although the parameter identifications are slightly different. This result has been anticipated by Itoyama et al.
url http://www.sciencedirect.com/science/article/pii/S037026931930797X
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AT hajimeotsuka unitarymatrixwithapennerlikepotentialalsoyieldsnf2
AT hitomitashiro unitarymatrixwithapennerlikepotentialalsoyieldsnf2
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