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

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arxiv 2303.13280 v1 pith:7BFJ5Y7D submitted 2023-03-23 hep-th gr-qc

classification hep-thgr-qc
keywords correlatorsholographicrecurrencerelationstresstensortoruscutoff
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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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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