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

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

2003-09-17

arxiv.org/abs/hep-th/0309177v2

JHEP 0312 (2003) 020

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, v2 references added

Scientific paper

10.1088/1126-6708/2003/12/020

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.

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