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Article
Report number arXiv:1901.08527
Title Probing typical black hole microstates
Author(s) De Boer, Jan (Amsterdam U.) ; Van Breukelen, Rik (CERN ; Geneva U.) ; Lokhande, Sagar F. (Amsterdam U.) ; Papadodimas, Kyriakos (ICTP, Trieste) ; Verlinde, Erik (Amsterdam U.)
Publication 2020-01-13
Imprint 2019-01-24
Number of pages 72
In: JHEP 01 (2020) 062
DOI 10.1007/JHEP01(2020)062
Subject category hep-th ; Particle Physics - Theory
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 perturbations 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.
Copyright/License publication: © 2020-2024 The Authors (License: CC-BY-4.0)
preprint: (License: arXiv nonexclusive-distrib 1.0)



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 Notice créée le 2019-02-09, modifiée le 2023-12-08


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