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Excursions Inside Black Holes and Finite Temperature CFT’s

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • D. Rodriguez-Gomez

    (Universidad de Oviedo, Department of Physics
    Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA))

Abstract

Finite temperature allows to probe detailed aspects of a Conformal Field Theory (CFT), providing interesting new windows into its dynamics. In the case of CFT’s with a gravity dual through the AdS/CFT correspondence, there is an interesting further twist as thermal correlation functions can contain information about the interior of the dual black hole encoded in a subtle way. In this talk we will study thermal correlation functions for heavy operators, focusing on 2- and 3-point functions. Allowing for higher curvature couplings, the 2-point function contains a contribution which can be understood in terms of geodesics reaching the singularity. As a consequence, the 2-point function can contain information about the travel time to the singularity.

Suggested Citation

  • D. Rodriguez-Gomez, 2026. "Excursions Inside Black Holes and Finite Temperature CFT’s," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 293-299, Springer.
  • Handle: RePEc:spr:sprchp:978-981-19-2328-9_34
    DOI: 10.1007/978-981-19-2328-9_34
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