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Entanglement entropy of black holes and AdS/CFT correspondence

Sergey N. Solodukhin
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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 $d=2$ 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 $L^2\ln L$ and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.

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Sergey N. Solodukhin. 2006-10-10. Entanglement entropy of black holes and AdS/CFT correspondence. https://doi.org/10.1103/physrevlett.97.201601

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