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Title: AdS-CFT correspondence and the information paradox

Abstract

The information paradox in the quantum evolution of black holes is studied within the framework of the anti{endash}de Sitter{endash}conformal field theory (AdS-CFT) correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is returned in the Hawking radiation. The CFT dynamics implies an information retention time of the order of the black-hole lifetime. This fact determines many qualitative properties of the nonlocal effects that must show up in a semiclassical effective theory in the bulk. We argue that no violations of causality are apparent to local observers, but the semiclassical theory in the bulk duplicates degrees of freedom inside and outside the event horizon. Nonlocal quantum effects are required to eliminate this redundancy. This leads to a breakdown of the usual classical-quantum correspondence principle in Lorentzian black-hole spacetimes. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
 [1];  [2]
  1. Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)
  2. Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)
Publication Date:
OSTI Identifier:
690763
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 60; Journal Issue: 10; Other Information: PBD: Nov 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; CONFORMAL INVARIANCE; BLACK HOLES; CAUSALITY; QUANTUM GRAVITY; GAUGE INVARIANCE; GRAVITATION

Citation Formats

Lowe, D A, Thorlacius, L, and University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavik. AdS-CFT correspondence and the information paradox. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.104012.
Lowe, D A, Thorlacius, L, & University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavik. AdS-CFT correspondence and the information paradox. United States. doi:10.1103/PhysRevD.60.104012.
Lowe, D A, Thorlacius, L, and University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavik. Mon . "AdS-CFT correspondence and the information paradox". United States. doi:10.1103/PhysRevD.60.104012.
@article{osti_690763,
title = {AdS-CFT correspondence and the information paradox},
author = {Lowe, D A and Thorlacius, L and University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavik},
abstractNote = {The information paradox in the quantum evolution of black holes is studied within the framework of the anti{endash}de Sitter{endash}conformal field theory (AdS-CFT) correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is returned in the Hawking radiation. The CFT dynamics implies an information retention time of the order of the black-hole lifetime. This fact determines many qualitative properties of the nonlocal effects that must show up in a semiclassical effective theory in the bulk. We argue that no violations of causality are apparent to local observers, but the semiclassical theory in the bulk duplicates degrees of freedom inside and outside the event horizon. Nonlocal quantum effects are required to eliminate this redundancy. This leads to a breakdown of the usual classical-quantum correspondence principle in Lorentzian black-hole spacetimes. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.60.104012},
journal = {Physical Review, D},
number = 10,
volume = 60,
place = {United States},
year = {1999},
month = {11}
}