Abstract
In this work, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus within the context of AdS3/CFT2. To compute the correlators of the stress tensor, we employ the Einstein-Hilbert theory of gravity and perturbatively solve Einstein’s equation in the bulk. In addition, we present an explicit prescription for developing a recurrence relation that simplifies the computation of higher point correlators. Our results show that the correlators and recurrence relation are consistent with known results in CFTs. Additionally, in line with the proposed cutoff-AdS/\( T\overline{T} \)-CFT holography, we extend our computation program to investigate holographic torus correlators at a finite cutoff in the AdS3 and derive a parallel recurrence relation associated with higher point correlators.
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Acknowledgments
We want to thank Bin Chen, Cheng Peng, Hao-Yu Sun, Jie-Qiang Wu, Jia Tian, Stefan Theisen, Xi-Nan Zhou, Yuan Sun, and Yu-Xuan Zhang for useful discussions related to this work. S.H. would appreciate financial support from the Fundamental Research Funds for the Central Universities and Max Planck Partner Group, as well as the Natural Science Foundation of China Grants No. 12075101, No. 12235016.
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He, S., Li, Y., Li, YZ. et al. Holographic torus correlators of stress tensor in AdS3/CFT2. J. High Energ. Phys. 2023, 116 (2023). https://doi.org/10.1007/JHEP06(2023)116
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DOI: https://doi.org/10.1007/JHEP06(2023)116