Abstract
We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS3 × \(\mathcal{N}\) with NS-NS flux and a single-trace \(T\overline{T }\) deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the \(T\overline{T }\) deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing h with \(h+2\frac{\widetilde{\lambda }}{w}p\overline{p }\), where h is the spacetime conformal weight, \(\widetilde{\lambda }\) is a deformation parameter, p and \(\overline{p }\) are the momenta, and w labels the twisted sectors in the deformed symmetric product. At w = 1, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace \(T\overline{T }\) deformed CFT derived in [1]. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured \({\text{TsT}}/T\overline{T }\) correspondence.
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Acknowledgments
We would like to thank Luis Apolo, Pengxiang Hao, Song He, Yunfeng Jiang, Wenxin Lai, Wen-jie Ma, Hao Ouyang and Fengjun Xu for useful discussions. The work of WC is supported by the fellowship of China Postdoctoral Science Foundation NO.2022M720507. The work of HS is supported in part by the Beijing Postdoctoral Research Foundation. The work of WS is supported by the national key research and development program of China No. 2020YFA0713000. The work of JTW is supported by the fellowship of China Postdoctoral Science Foundation NO.2022M720508. WC also would like to thank the Tsinghua Sanya International Mathematics Forum (TSIMF) for the hospitality where part of this work was completed.
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Cui, W., Shu, H., Song, W. et al. Correlation functions in the \({\text{TsT}}/T\overline{T }\) correspondence. J. High Energ. Phys. 2024, 17 (2024). https://doi.org/10.1007/JHEP04(2024)017
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DOI: https://doi.org/10.1007/JHEP04(2024)017