Abstract
In the AdS3/CFT2 framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems, providing correlators for the energy-momentum tensor operator at low points. Utilizing operator equations established in our previous work, we further compute arbitrary high-point correlators for the energy-momentum tensor operator in the high-temperature phase and recursive relations for these high-point functions. Concurrently, we employ the Chern-Simons formalism to derive consistent results. Further, using the cut-off AdS/\( T\overline{T} \)-deformed CFT duality, we calculate the energy-momentum tensor correlators, contributing to the comprehensive understanding of the system’s dynamics. Finally, stress tensor correlators enable us to ascertain the corresponding KdV operator correlators at low-temperature.
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Acknowledgments
We want to thank Bin Chen, Alex Maloney, Cheng Peng, and Xi-Nan Zhou for useful discussions related to this work. S.H. also would like to appreciate the financial support from the Max Planck Partner Group, the Fundamental Research Funds for the Central Universities, and the Natural Science Foundation of China Grants No. 12075101, No. 12475053, No. 12347209, No. 12235016.
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He, S., Li, Y., Li, YZ. et al. Note on holographic torus stress tensor correlators in AdS3 gravity. J. High Energ. Phys. 2024, 125 (2024). https://doi.org/10.1007/JHEP09(2024)125
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DOI: https://doi.org/10.1007/JHEP09(2024)125