Perturbing the symmetric orbifold from the worldsheet
Abstract
The symmetric orbifold of 𝕋4 is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in AdS3 × S3 × 𝕋4. In this paper we study the deformation of this exact AdS/CFT duality away from the free point. On the symmetric orbifold side this amounts to perturbing the theory by the exactly marginal operator from the 2-cycle twisted sector. We identify the corresponding perturbation in the dual worldsheet description, and show that the anomalous conformal dimensions of a number of symmetric orbifold currents are correctly reproduced from this worldsheet perspective.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- July 2023
- DOI:
- 10.1007/JHEP07(2023)093
- arXiv:
- arXiv:2212.12342
- Bibcode:
- 2023JHEP...07..093F
- Keywords:
-
- AdS-CFT Correspondence;
- Conformal Field Models in String Theory;
- 1/N Expansion;
- High Energy Physics - Theory
- E-Print:
- 27 pages, 1 figure