Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1

By T. Azeyanagi, T. Nishioka, T. Takayanagi. 2007

222 citations recorded by the source corpus.

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS{sub 2}/CFT{sub 1}. As an explicit example, we study near extremal Banados-Teitelboim-Zanelli black holes and derive this claim from AdS{sub 3}/CFT{sub 2}. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/234ff37d83db40c4baffcac5677d9294fb3d2ff1

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Citations in the corpus

Entanglement entropy from a holographic viewpoint (2012, background): “[156–169] for other progress on the HEE for black holes which we could not discuss in the main context of this review.”
Entanglement Entropy at Large Central Charge (2013, background): “The result also applies to problems related by a conformal mapping, including the (possibly time dependent) entanglement entropy of a CFT at finite temperature where it is very natural to consider multiple intervals [9, 10, 11].”
Entanglement Entropy of Black Holes (2011, background): “An interesting approach to the entanglement entropy of extremal black holes via AdS2/CFT1 duality is considered in [4, 192], where, in particular, one can identify the entanglement entropy and the microcanonical statistical entropy.”
Quantum Entropy Function from AdS(2)/CFT(1) Correspondence (2008, background): “relating the entanglement entropy and statistical entropy was suggested in [ 65 ].”
CFT Duals for Extreme Black Holes (2008, unknown): “It is suggested in [11] that using [12], the extremal black hole entropy of (1.”
Holographic Fermi surfaces and entanglement entropy (2011, methodology): “We would like to ask the readers to refer to [25] for details where a similar analysis has been done when μ = 0.”