4.4 Article

Correlation functions in finite temperature CFT and black hole singularities

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2021)048

Keywords

AdS-CFT Correspondence; Black Holes in String Theory

Funding

  1. Spanish government grant [MINECO-16-FPA201563667-P]
  2. Principado de Asturias [FC-GRUPIN-IDI/2018/000174]
  3. MINECO [2017-SGR-929, PID2019-105614GB-C21]
  4. State Agency for Research of the Spanish Ministry of Science and Innovation through the Unit of Excellence Maria de Maeztu 2020-2023'' [CEX2019-000918-M]

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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.
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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