Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory

Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) {\cal N}=4 supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is ge...

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Detalles Bibliográficos
Autores principales: Akemann, G., Damgaard, P.H.
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(01)00675-X
https://dx.doi.org/10.1016/S0370-2693(01)01346-6
http://cds.cern.ch/record/485813
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author Akemann, G.
Damgaard, P.H.
author_facet Akemann, G.
Damgaard, P.H.
author_sort Akemann, G.
collection CERN
description Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) {\cal N}=4 supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher k-point correlation functions, which are needed for the evaluation of Wilson loops in arbitrary irreducible representations of U(N).
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spelling cern-4858132023-03-14T17:02:30Zdoi:10.1016/S0370-2693(01)00675-Xdoi:10.1016/S0370-2693(01)01346-6http://cds.cern.ch/record/485813engAkemann, G.Damgaard, P.H.Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix TheoryParticle Physics - TheoryBased on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) {\cal N}=4 supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher k-point correlation functions, which are needed for the evaluation of Wilson loops in arbitrary irreducible representations of U(N).Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) ${\cal N}=4$ supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher $k$-point correlation functions, which are needed for the evaluation of Wilson loops in arbitrary irreducible representations of U(N).Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U ( N ) N =4 supersymmetric Yang–Mills theory to all orders in a 1/ N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this Letter we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher k-point correlation functions, which are needed for the evaluation of Wilson loops in arbitrary irreducible representations of U ( N ).hep-th/0101225CERN-TH-2001-026CERN-TH-2001-026SACLAY-SPHT-T-2001-170-ERRATUMoai:cds.cern.ch:4858132001-01-31
spellingShingle Particle Physics - Theory
Akemann, G.
Damgaard, P.H.
Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title_full Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title_fullStr Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title_full_unstemmed Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title_short Wilson Loops in N=4 Supersymmetric Yang-Mills Theory from Random Matrix Theory
title_sort wilson loops in n=4 supersymmetric yang-mills theory from random matrix theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0370-2693(01)00675-X
https://dx.doi.org/10.1016/S0370-2693(01)01346-6
http://cds.cern.ch/record/485813
work_keys_str_mv AT akemanng wilsonloopsinn4supersymmetricyangmillstheoryfromrandommatrixtheory
AT damgaardph wilsonloopsinn4supersymmetricyangmillstheoryfromrandommatrixtheory

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