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

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

2007-04-02

arxiv.org/abs/0704.0140v2

Phys.Lett.B653:434-438,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 2 figures, typos corrected

Scientific paper

10.1016/j.physletb.2007.08.026

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.

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