Entanglement entropy of black holes and AdS/CFT correspondence
Jun, 2006Citations per year
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 (adS) is generalized to include entanglement entropy of black holes living on the boundary of adS. The generalized proposal is verified in boundary dimensions and for both the UV divergent and UV finite terms. In dimension an expansion of entanglement entropy in terms of size of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled CFT, which universally grows as and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.- 11.25.Tq
- 03.65.Ud
- 04.70.Dy
- 11.25.Hf
- black hole
- entropy: entanglement
- space-time: anti-de Sitter
- field theory: conformal
- dimension: 2
- dimension: 4
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