Information radiation in BCFT models of black holes
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Springer
Received: January 7, 2020 Accepted: April 16, 2020 Published: May 4, 2020
Information radiation in BCFT models of black holes
Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, B.C. V6T 1Z1, Canada
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: In this note, following [1–3], we introduce and study various holographic systems which can describe evaporating black holes. The systems we consider are boundary conformal field theories for which the number of local degrees of freedom on the boundary (cbdy ) is large compared to the number of local degrees of freedom in the bulk CFT (cbulk ). We consider states where the boundary degrees of freedom on their own would describe an equilibrium black hole, but the coupling to the bulk CFT degrees of freedom allows this black hole to evaporate. The Page time for the black hole is controlled by the ratio cbdy /cbulk . Using both holographic calculations and direct CFT calculations, we study the evolution of the entanglement entropy for the subset of the radiation system (i.e. the bulk CFT) at a distance d > a from the boundary. We find that the entanglement entropy for this subsystem increases until time a + tPage and then undergoes a phase transition after which the entanglement wedge of the radiation system includes the black hole interior. Remarkably, this occurs even if the radiation system is initially at the same temperature as the black hole so that the two are in thermal equilibrium. In this case, even though the black hole does not lose energy, it “radiates” information through interaction with the radiation system until the radiation system contains enough information to reconstruct the black hole interior. Keywords: AdS-CFT Correspondence, Black Holes, Conformal Field Theory, Models of Quantum Gravity ArXiv ePrint: 1910.12836
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP05(2020)004
JHEP05(2020)004
Moshe Rozali, James Sully, Mark Van Raamsdonk, Christopher Waddell and David Wakeham
Contents 1 Introduction
1
2 Basic setup 2.1 Holographic duals of BCFTs
5 7 9 15 17 19
4 2D evaporating and single sided examples 4.1 Single-sided case 4.2 Dynamical case
20 20 21
5 Discussion 5.1 A connection to behind-the-horizon physics of black hole microstates 5.2 CFT constructions for duals of higher-dimensional evaporating black holes
27 27 28
1
Introduction
Background. Within the context of holographic models of quantum gravity, the formation and evaporation of black holes is a manifestly unitary process in the sense that the underlying quantum system evolves through conventional Schr¨odinger evolution with a Hermitian Hamiltonian. However, in the gravity picture, the physics of the black hole interior and the mechanism through which information about the microstate of the black hole emerges in the Hawking radiation are still not fully understood. A crucial piece of physics to understand i
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