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Holographic torus correlators in $\text{AdS}_3$ gravity coupled to scalar field

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arxiv 2311.09636 v2 pith:CFXJEHVZ submitted 2023-11-16 hep-th gr-qc

Song He , Yun-Ze Li , Yunda Zhang This is my paper · ORCID
classification hep-thgr-qc
keywords correlatorsscalarcoupledtorusboundaryconformalfieldgravity
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  2. Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions

    hep-th 2025-01 accept novelty 6.0 of 10

    Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.

  3. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

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