Abstract
We compute thermal 2-point correlation functions in the black brane AdS5 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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Rodriguez-Gomez, D., Russo, J. Correlation functions in finite temperature CFT and black hole singularities. J. High Energ. Phys. 2021, 48 (2021). https://doi.org/10.1007/JHEP06(2021)048
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DOI: https://doi.org/10.1007/JHEP06(2021)048