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#### Holographic torus correlators of stress tensor in $AdS_3/CFT_2$

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2303.13280.pdf

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##### Citation

He, S., Li, Y., Li, Y.-Z., & Zhang, Y. (in preparation). Holographic torus correlators of stress tensor in $AdS_3/CFT_2$.

Cite as: https://hdl.handle.net/21.11116/0000-000C-DDB1-3

##### Abstract

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators

of the stress tensor of a conformal field theory (CFT) on a torus in this work.

To calculate the correlators of the stress tensor, we employ the

Einstein-Hilbert theory of gravity and perturbatively solve Einstein's equation

in the bulk. We offer an explicit prescription to develop a recurrence relation

that makes it simple to compute higher point correlators. The correlators and

the recurrence relation are found to be consistent with what is known in CFTs.

Following the spirit of the proposed cutoff $\rm AdS$/$T\bar{T}$ CFT

holography, we then expand our computation program to investigate holographic

torus correlators at a finite cutoff in the $\rm AdS_3$. A parallel recurrence

relation associated with higher point correlators can be obtained.

of the stress tensor of a conformal field theory (CFT) on a torus in this work.

To calculate the correlators of the stress tensor, we employ the

Einstein-Hilbert theory of gravity and perturbatively solve Einstein's equation

in the bulk. We offer an explicit prescription to develop a recurrence relation

that makes it simple to compute higher point correlators. The correlators and

the recurrence relation are found to be consistent with what is known in CFTs.

Following the spirit of the proposed cutoff $\rm AdS$/$T\bar{T}$ CFT

holography, we then expand our computation program to investigate holographic

torus correlators at a finite cutoff in the $\rm AdS_3$. A parallel recurrence

relation associated with higher point correlators can be obtained.