Wheeler-DeWitt Equation in AdS/CFT Correspondence

We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formul...

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Detalles Bibliográficos
Autores principales: Kubota, Takahiro, Ueno, Tatsuya, Yokoi, Naoto
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2003.10.085
http://cds.cern.ch/record/676502
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author Kubota, Takahiro
Ueno, Tatsuya
Yokoi, Naoto
author_facet Kubota, Takahiro
Ueno, Tatsuya
Yokoi, Naoto
author_sort Kubota, Takahiro
collection CERN
description We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N=4 SU(N) super-Yang-Mills theory beyond the large N limit. It is shown that subleading 1/N^2 corrections arising from fields in AdS_5 supergravity agree with those obtained recently by Mansfield et al. using their Schroedinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6765022023-03-14T18:49:31Zdoi:10.1016/j.physletb.2003.10.085http://cds.cern.ch/record/676502engKubota, TakahiroUeno, TatsuyaYokoi, NaotoWheeler-DeWitt Equation in AdS/CFT CorrespondenceParticle Physics - TheoryWe discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N=4 SU(N) super-Yang-Mills theory beyond the large N limit. It is shown that subleading 1/N^2 corrections arising from fields in AdS_5 supergravity agree with those obtained recently by Mansfield et al. using their Schroedinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler-DeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N=4 SU(N) super-Yang-Mills theory beyond the large N limit. It is shown that subleading 1/N^2 corrections arising from fields in AdS_5 supergravity agree with those obtained recently by Mansfield et al. using their Schroedinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The Wheeler–DeWitt equation is proposed to generate the extended RG flow and to produce 1/ N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N =4 SU ( N ) super-Yang–Mills theory beyond the large N limit. It is shown that subleading 1/ N 2 corrections arising from fields in AdS 5 supergravity agree with those obtained recently by Mansfield et al. using their Schrödinger equation, thereby guaranteeing to reproduce the exact form of the boundary Weyl anomaly after summing up all of the KK modes.hep-th/0310109OU-HET-455LTH-605CERN-TH-2003-245CERN-TH-2003-245LTH-605OU-HET-455oai:cds.cern.ch:6765022003-10-11
spellingShingle Particle Physics - Theory
Kubota, Takahiro
Ueno, Tatsuya
Yokoi, Naoto
Wheeler-DeWitt Equation in AdS/CFT Correspondence
title Wheeler-DeWitt Equation in AdS/CFT Correspondence
title_full Wheeler-DeWitt Equation in AdS/CFT Correspondence
title_fullStr Wheeler-DeWitt Equation in AdS/CFT Correspondence
title_full_unstemmed Wheeler-DeWitt Equation in AdS/CFT Correspondence
title_short Wheeler-DeWitt Equation in AdS/CFT Correspondence
title_sort wheeler-dewitt equation in ads/cft correspondence
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2003.10.085
http://cds.cern.ch/record/676502
work_keys_str_mv AT kubotatakahiro wheelerdewittequationinadscftcorrespondence
AT uenotatsuya wheelerdewittequationinadscftcorrespondence
AT yokoinaoto wheelerdewittequationinadscftcorrespondence

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