Entanglement Entropy of Black Holes and Anti-de Sitter Space/Conformal-Field-Theory Correspondence
- School of Engineering and Science, International University Bremen, P.O. Box 750561, Bremen 28759 (Germany)
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.
- OSTI ID:
- 20861138
- Journal Information:
- Physical Review Letters, Vol. 97, Issue 20; Other Information: DOI: 10.1103/PhysRevLett.97.201601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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