Correlation functions in finite temperature CFT and black hole singularities

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.

Automated summary

The 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 were computed. A formula matching the expected structure of the OPE was found, showing an exponentiation property whose origin was explained. Additionally, the first correction to the two-point function due to graviton emission, encoding the proper time from the event horizon to the black hole singularity, was computed.