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Journal Article

Holographic torus correlators in AdS3 gravity coupled to scalar field

MPS-Authors
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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2311.09636.pdf
(Preprint), 513KB

JHEP05(2024)254.pdf
(Publisher version), 724KB

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Citation

He, S., Li, Y.-Z., & Zhang, Y. (2024). Holographic torus correlators in AdS3 gravity coupled to scalar field. Journal of High Energy Physics, 2024(05): 254. doi:10.1007/JHEP05(2024)254.


Cite as: https://hdl.handle.net/21.11116/0000-000F-6111-0
Abstract
This paper investigates holographic torus correlators of generic operators at
conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a
free scalar field. Using a near-boundary analysis and solving the gravitational
boundary value problem, we solve Einstein's equation and calculate mixed
correlators for massless and massive coupled scalar fields. The conformal ward
identity on the torus has been reproduced holographically, which can be
regarded as a consistency check. Further, recurrence relations for a specific
class of higher-point correlators are derived, validating AdS$_3$/CFT$_2$ with
non-trivial boundary topology. While the two-point scalar correlator is
accurately computed on the thermal AdS$_3$ saddle, the higher-point correlators
associated with scalar and stress tensor operators are explored.