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Title: Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence

Abstract

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter space is generalized to include entanglement entropy of black holes living on the boundary of anti-de Sitter space. The generalized proposal is verified in boundary dimensions d=2 and d=4 for both the uv-divergent and uv-finite terms. In dimension d=4 an expansion of entanglement entropy in terms of size L of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled conformal-field theory, which universally grows as L{sup 2}lnL and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.

Authors:
 [1]
  1. School of Engineering and Science, International University Bremen, P.O. Box 750561, Bremen 28759 (Germany)
Publication Date:
OSTI Identifier:
20861138
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 20; Other Information: DOI: 10.1103/PhysRevLett.97.201601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CONFORMAL INVARIANCE; DE SITTER GROUP; ENTROPY; QUANTUM ENTANGLEMENT; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SUPERGRAVITY

Citation Formats

Solodukhin, Sergey N. Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.201601.
Solodukhin, Sergey N. Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence. United States. doi:10.1103/PHYSREVLETT.97.201601.
Solodukhin, Sergey N. Fri . "Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence". United States. doi:10.1103/PHYSREVLETT.97.201601.
@article{osti_20861138,
title = {Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence},
author = {Solodukhin, Sergey N.},
abstractNote = {A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter space is generalized to include entanglement entropy of black holes living on the boundary of anti-de Sitter space. The generalized proposal is verified in boundary dimensions d=2 and d=4 for both the uv-divergent and uv-finite terms. In dimension d=4 an expansion of entanglement entropy in terms of size L of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled conformal-field theory, which universally grows as L{sup 2}lnL and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.},
doi = {10.1103/PHYSREVLETT.97.201601},
journal = {Physical Review Letters},
number = 20,
volume = 97,
place = {United States},
year = {Fri Nov 17 00:00:00 EST 2006},
month = {Fri Nov 17 00:00:00 EST 2006}
}