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Entropy 2010, 12(11), 2244-2267; doi:10.3390/e12112244
Review

Entanglement Entropy of AdS Black Holes

*  and
Dipartimento di Fisica, UniversitĂ  di Cagliari, and INFN sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy
* Author to whom correspondence should be addressed.
Received: 25 September 2010 / Accepted: 13 October 2010 / Published: 2 November 2010
(This article belongs to the Special Issue Entropy in Quantum Gravity)
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Abstract

We review recent progress in understanding the entanglement entropy of gravitational configurations for anti-de Sitter gravity in two and three spacetime dimensions using the AdS/CFT correspondence. We derive simple expressions for the entanglement entropy of two- and three-dimensional black holes. In both cases, the leading term of the entanglement entropy in the large black hole mass expansion reproduces exactly the Bekenstein-Hawking entropy, whereas the subleading term behaves logarithmically. In particular, for the BTZ black hole the leading term of the entanglement entropy can be obtained from the large temperature expansion of the partition function of a broad class of 2D CFTs on the torus.
Keywords: black holes; entanglement entropy; holographic principle black holes; entanglement entropy; holographic principle
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cadoni, M.; Melis, M. Entanglement Entropy of AdS Black Holes. Entropy 2010, 12, 2244-2267.

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