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#### Note on holographic torus stress tensor correlators in AdS_3 gravity

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2405.01255.pdf

(Preprint), 420KB

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##### Citation

He, S., Li, Y., Li, Y.-Z., & Zhang, Y. (in preparation). Note on holographic torus stress tensor correlators in AdS_3 gravity.

Cite as: https://hdl.handle.net/21.11116/0000-000F-3FFF-D

##### Abstract

In the AdS$_3$/CFT$_2$ 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/$T\bar{T}$-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.

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/$T\bar{T}$-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.