SL(2,Z) Action on Three-Dimensional CFTs and Holography

We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similar...

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Detalles Bibliográficos
Autores principales: Leigh, R G, Petkou, Anastasios C
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2003/12/020
http://cds.cern.ch/record/643088
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author Leigh, R G
Petkou, Anastasios C
author_facet Leigh, R G
Petkou, Anastasios C
author_sort Leigh, R G
collection CERN
description We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similarity to the dynamics of a wide class of three-dimensional CFTs. The holographic interpretation of our results raises the possibility that many three-dimensional CFTs have duals on AdS4 with SL(2,Z) duality properties at the linearized level.
id cern-643088
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6430882019-09-30T06:29:59Zdoi:10.1088/1126-6708/2003/12/020http://cds.cern.ch/record/643088engLeigh, R GPetkou, Anastasios CSL(2,Z) Action on Three-Dimensional CFTs and HolographyParticle Physics - TheoryWe show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similarity to the dynamics of a wide class of three-dimensional CFTs. The holographic interpretation of our results raises the possibility that many three-dimensional CFTs have duals on AdS4 with SL(2,Z) duality properties at the linearized level.hep-th/0309177CERN-TH-2003-215ILL-TH-2003-08oai:cds.cern.ch:6430882003-09-17
spellingShingle Particle Physics - Theory
Leigh, R G
Petkou, Anastasios C
SL(2,Z) Action on Three-Dimensional CFTs and Holography
title SL(2,Z) Action on Three-Dimensional CFTs and Holography
title_full SL(2,Z) Action on Three-Dimensional CFTs and Holography
title_fullStr SL(2,Z) Action on Three-Dimensional CFTs and Holography
title_full_unstemmed SL(2,Z) Action on Three-Dimensional CFTs and Holography
title_short SL(2,Z) Action on Three-Dimensional CFTs and Holography
title_sort sl(2,z) action on three-dimensional cfts and holography
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2003/12/020
http://cds.cern.ch/record/643088
work_keys_str_mv AT leighrg sl2zactiononthreedimensionalcftsandholography
AT petkouanastasiosc sl2zactiononthreedimensionalcftsandholography

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