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Probing typical black hole microstates
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...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP01(2020)062 http://cds.cern.ch/record/2657690 |
_version_ | 1780961198453293056 |
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author | De Boer, Jan Van Breukelen, Rik Lokhande, Sagar F. Papadodimas, Kyriakos Verlinde, Erik |
author_facet | De Boer, Jan Van Breukelen, Rik Lokhande, Sagar F. Papadodimas, Kyriakos Verlinde, Erik |
author_sort | De Boer, Jan |
collection | CERN |
description | 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. |
id | cern-2657690 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
record_format | invenio |
spelling | cern-26576902023-10-04T06:54:07Zdoi:10.1007/JHEP01(2020)062http://cds.cern.ch/record/2657690engDe Boer, JanVan Breukelen, RikLokhande, Sagar F.Papadodimas, KyriakosVerlinde, ErikProbing typical black hole microstateshep-thParticle Physics - TheoryWe 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.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.arXiv:1901.08527oai:cds.cern.ch:26576902019-01-24 |
spellingShingle | hep-th Particle Physics - Theory De Boer, Jan Van Breukelen, Rik Lokhande, Sagar F. Papadodimas, Kyriakos Verlinde, Erik Probing typical black hole microstates |
title | Probing typical black hole microstates |
title_full | Probing typical black hole microstates |
title_fullStr | Probing typical black hole microstates |
title_full_unstemmed | Probing typical black hole microstates |
title_short | Probing typical black hole microstates |
title_sort | probing typical black hole microstates |
topic | hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1007/JHEP01(2020)062 http://cds.cern.ch/record/2657690 |
work_keys_str_mv | AT deboerjan probingtypicalblackholemicrostates AT vanbreukelenrik probingtypicalblackholemicrostates AT lokhandesagarf probingtypicalblackholemicrostates AT papadodimaskyriakos probingtypicalblackholemicrostates AT verlindeerik probingtypicalblackholemicrostates |