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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Leigh, R. G., & Petkou, A. C. (2003). SL(2, ℤ) action on three-dimensional CFTs and holography. Journal of High Energy Physics, 7(12), 469-485.