Correlation functions in finite temperature CFT and black hole singularities

Abstract

We compute thermal 2-point correlation functions in the black brane $Ad{S}_5$ 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.

25 pages. (References added)

References in corpus (5)

• Proper time to the black hole singularity from thermal one-point functions
• Semi-classical Virasoro blocks: proof of exponentiation
• Black holes and universality classes of critical points
• AdS black holes as reflecting cavities
• Correlation functions in scalar field theory at large charge

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• Circular strings in Kerr-$Ad{S}_5$ black holes
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