T T ¯/J T ¯-deformed WZW models from Chern-Simons AdS3 gravity with mixed boundary conditions
Abstract
In this work we consider AdS3 gravitational theory with certain mixed boundary conditions at infinity. Using the Chern-Simons formalism of AdS3 gravity, we find that these mixed boundary conditions lead to nontrivial boundary terms, which, in turn, produce exactly the spectrum of the T T ¯/J T ¯-deformed conformal field theories (CFTs). We then follow the procedure for constructing asymptotic boundary dynamics of AdS3 to derive the constrained T T ¯-deformed Wess-Zumino-Witten (WZW) model from Chern-Simons gravity. The resulting theory turns out to be the T T ¯-deformed Alekseev-Shatashvili action after disentangling the constraints. Furthermore, by adding a U (1 ) gauge field associated to the current J , we obtain one type of the J T ¯-deformed WZW model, and show that its action can also be constructed from the gravity side. These results provide a check on the correspondence between the T T ¯/J T ¯-deformed CFTs and the deformations of boundary conditions of AdS3 , the latter of which may be regarded as coordinate transformations.
- Publication:
-
Physical Review D
- Pub Date:
- June 2021
- DOI:
- 10.1103/PhysRevD.103.126019
- arXiv:
- arXiv:2012.05726
- Bibcode:
- 2021PhRvD.103l6019H
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 34 pages