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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

Correlation functions in finite temperature CFT and black hole singularities

classification hep-th
keywords blackcomputecorrelationfinitefunctionsholetemperaturebackground
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 2 Pith papers

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    Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation...

  2. One-point holographic correlator in the expanding universe

    hep-th 2026-07 conditional novelty 5.0

    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...