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SL(2,Bbb Z) action on three-dimensional CFTs and holography

Robert G. Leigh et al JHEP12(2003)020   doi: 10.1088/1126-6708/2003/12/020  Help

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Robert G. Leigh1 and Anastasios C. Petkou2
1 Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801 U.S.A.
2 CERN Theory Division, CH-1211 Geneva 23, Switzerland
E-mail: Tassos.Petkou@cern.ch

Abstract. We show that there is a natural action of SL(2,Bbb 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,Bbb 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,Bbb Z) duality properties at the linearized level.

Key words: Duality in Gauge Field Theories; AdS-CFT and dS-CFT Correspondence

E-print number: hep-th/0309177
Cited: by
Refers: to

Received 20 November 2003, accepted for publication 12 December 2003
Published 23 January 2004

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