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arXiv · hep-th/0309177

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

Robert G. Leigh·Anastasios C. Petkou
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Abstract

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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Robert G. Leigh, Anastasios C. Petkou. 2003-11-20. SL(2,Z) Action on Three-Dimensional CFTs and Holography. https://doi.org/10.1088/1126-6708%2F2003%2F12%2F020

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