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

Robert G. Leigh; Anastasios C. Petkou

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

Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	469-485
Number of pages	17
Journal	Journal of High Energy Physics
Volume	7
Issue number	12
State	Published - Dec 1 2003

Keywords

AdS-CFT and dS-CFT Correspondence
Duality in Gauge Field Theories

ASJC Scopus subject areas

Nuclear and High Energy Physics

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

Abstract

Keywords

ASJC Scopus subject areas

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