Scientific article
OA Policy
English

Probing typical black hole microstates

Published inThe journal of high energy physics, vol. 01, no. 1
Publication date2020
First online date2020-01-13
Abstract

We investigate the possibility that the geometry dual to a typical AdS black hole microstate corresponds to the extended AdS-Schwarzschild geometry, including a region spacelike to the exterior. We argue that this region can be described by the mirror operators, a set of state-dependent operators in the dual CFT. We probe the geometry of a typical state by considering state-dependent deformations of the CFT Hamiltonian, which have an interpretation as a one-sided analogue of the Gao-Jafferis-Wall traversable wormhole protocol for typical states. We argue that the validity of the conjectured bulk geometry requires that out-of-time-order correlators of simple CFT operators on typical pure states must exhibit the same chaotic effects as thermal correlators at scrambling time. This condition is related to the question of whether the product of operators separated by scrambling time obey the Eigenstate Thermalization Hypothesis. We investigate some of these statements in the SYK model and discuss similarities with state-dependent perturba- tions of pure states in the SYK model previously considered by Kourkoulou and Maldacena. Finally, we discuss how the mirror operators can be used to implement an analogue of the Hayden-Preskill protocol.

Keywords
  • Black Holes
  • Information Paradox
  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Field theory: conformal
  • Geometry: duality
  • Correlation function: thermal
  • Black hole: anti-de Sitter
  • Wormhole: traversable
  • Microstate
  • Mirror
  • Perturbation
  • Hamiltonian
  • Deformation
  • Chaos
Citation (ISO format)
DE BOER, Jan et al. Probing typical black hole microstates. In: The journal of high energy physics, 2020, vol. 01, n° 1. doi: 10.1007/jhep01(2020)062
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Article (Published version)
Identifiers
Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP01(2020)062
Journal ISSN1029-8479
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