Entanglement entropy of two-dimensional Anti-de Sitter black holes

Abstract

Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking entropy S_{BH}, whereas the subleading term behaves as ln S_{BH}. This subleading term has the universal form typical for the entanglement entropy of physical systems described by effective conformal fields theories (e.g. one-dimensional statistical models at the critical point). The well-known form of the entanglement entropy for a two-dimensional conformal field theory is obtained as analytic continuation of our result and is related with the entanglement entropy of a black hole with negative mass.

6 pages, 2 figures, typos corrected

References in corpus (3)

• Black hole entropy as entanglement entropy: a holographic derivation
• Entanglement entropy of black holes and AdS/CFT correspondence
• Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity

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