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Holographic Entanglement Entropy of the BTZ Black Hole

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Abstract

We investigate quantum entanglement of gravitational configurations in 3D AdS gravity using the AdS/CFT correspondence. We derive explicit formulas for the holographic entanglement entropy (EE) of the BTZ black hole, conical singularities and regularized AdS3. The leading term in the large temperature expansion of the holographic EE of the BTZ black hole reproduces exactly its Bekenstein-Hawking entropy S BH , whereas the subleading term behaves as ln S BH . We also show that the leading term of the holographic EE for the BTZ black hole can be obtained from the large temperature expansion of the partition function of a broad class of 2D CFTs on the torus. This result indicates that black hole EE is not a fundamental feature of the underlying theory of quantum gravity but emerges when the semiclassical notion of spacetime geometry is used to describe the black hole.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Cagliari, and INFN sezione di Cagliari, Cittadella Universitaria, 09042, Monserrato, Italy

    Mariano Cadoni & Maurizio Melis

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  1. Mariano Cadoni
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  2. Maurizio Melis
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Correspondence to Mariano Cadoni.

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Cadoni, M., Melis, M. Holographic Entanglement Entropy of the BTZ Black Hole. Found Phys 40, 638–657 (2010). https://doi.org/10.1007/s10701-010-9430-6

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  • DOI: https://doi.org/10.1007/s10701-010-9430-6

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