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.
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Acknowledgments
We thank Bob Knighton, Rajesh Gopakumar, Beat Nairz, and Jakub Vošmera for useful discussions and comments on a draft of this paper. The work of MAF, KN and VS was supported by a grant from the Swiss National Science Foundation. The activity of the whole group is generally supported by the NCCR SwissMAP that is also supported by the Swiss National Science Foundation. Finally, MRG acknowledges support from the Simons Foundation grant 994306 (Simons collaboration on Confinement and QCD Strings).
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Fiset, MA., Gaberdiel, M.R., Naderi, K. et al. Perturbing the symmetric orbifold from the worldsheet. J. High Energ. Phys. 2023, 93 (2023). https://doi.org/10.1007/JHEP07(2023)093
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DOI: https://doi.org/10.1007/JHEP07(2023)093