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Correlation functions in finite temperature CFT and black hole singularities

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arxiv 2102.11891 v4 pith:SR32DGSC submitted 2021-02-23 hep-th

classification hep-th
keywords blackcomputecorrelationfinitefunctionsholetemperaturebackground
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute thermal 2-point correlation functions in the black brane $AdS_5$ background dual to 4d CFT's at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

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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. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  2. One-point holographic correlator in the expanding universe

    hep-th 2026-07 conditional novelty 5.0 of 10

    In the RS-II braneworld with p-brane gas, the holographic thermal one-point function of heavy operators inherits its time dependence from the brane motion: late-time power-law decays τ^{-Δ/2}, τ^{-2Δ/3}, τ^{-Δ} for ra...

  3. More on thermal holographic RG flows in a 3D gauged supergravity

    hep-th 2024-12 conditional novelty 5.0 of 10

    In a 3D gauged supergravity, thermal holographic RG flows come in monotonic and non-monotonic classes, with a special analytic class where the metric is exactly BTZ and the scalar is hypergeometric.

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