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

Robert G. Leigh, Anastasios C. Petkou

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)469-485
Number of pages17
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 1 2003


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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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