Abstract
The symmetric orbifold of 𝕋4 is exactly dual to string theory on AdS3 × S3 × 𝕋4 with minimal (k = 1) NS-NS flux. In this paper we study the perturbation of the symmetric orbifold that is dual to switching on R-R flux, and hence to deforming the theory away from the tensionless point. More specifically, we determine systematically the action of a centrally extended supersymmetry algebra on the CFT states, and deduce from it the anomalous conformal dimensions. In the w-twisted sector with large w the structure is similar to what was found for \( \mathcal{N} \) = 4 SYM: the basic excitations are multi-magnons whose individual dispersion relation is fixed by symmetry, and the comparison with the BMN answer suggests that the result is true to all orders in perturbation theory. Finally we show that the multi-magnon states interact via an integrable S-matrix and possess a natural family of bound states.
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Acknowledgments
We thank Sujay Ashok, Niklas Beisert, Frank Coronado, Justin David, Lorenz Eberhardt, Abhijit Gadde, Gin Guo, Ben Hoare, Anthony Houppe, Bob Knighton, Shota Komatsu, Samir Mathur, Edward Mazenc, Shiraz Minwalla, Kiarash Naderi, Leonardo Rastelli, Shlomo Razamat, Ashoke Sen, Alessandro Sfondrini, Vit Sriprachyakul, Bogdan Stefanski, Arkady Tseytlin, Pedro Vieira, and Spenta Wadia for useful conversations. MRG and RG thank the KITP in Santa Barbara for hospitality during the program on ‘Bootstrapping Quantum Gravity’ at an early stage of the project; this was supported by the grant NSF PHY-1748958 to the Kavli Institute for Theoretical Physics (KITP). We also gratefully acknowledge the hospitality of the Pollica Physics workshop on ‘New connections between Physics and Number Theory’ at an important intermediate stage of the work. The work of BN is supported through a personal grant of MRG from the Swiss National Science Foundation. The work of the group at ETH is supported in part by the Simons Foundation grant 994306 (Simons collaboration on Confinement and QCD Strings), as well the NCCR SwissMAP that is also funded by the Swiss National Science Foundation. The work of RG is supported in part by the J.C. Bose Fellowship of the DST-SERB. RG acknowledges the support of the Department of Atomic Energy, Government of India, under project no. RTI4001, as well as the framework of support for the basic sciences by the people of India.
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Gaberdiel, M.R., Gopakumar, R. & Nairz, B. Beyond the tensionless limit: integrability in the symmetric orbifold. J. High Energ. Phys. 2024, 30 (2024). https://doi.org/10.1007/JHEP06(2024)030
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DOI: https://doi.org/10.1007/JHEP06(2024)030