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arXiv · 2102.11891

Correlation functions in finite temperature CFT and black hole singularities

D. Rodriguez-Gomez·J. G. Russo
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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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D. Rodriguez-Gomez, J. G. Russo. 2021-02-23. Correlation functions in finite temperature CFT and black hole singularities. https://doi.org/10.1007/jhep06(2021)048

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