Entanglement entropy of black holes and AdS/CFT correspondence
Solodukhin, Sergey N.
Original · EN
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 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 CFT, which universally grows as L² L and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.
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