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arxiv: 0710.2956 · v4 · submitted 2007-10-16 · ✦ hep-th · gr-qc

Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1

Tatsuo Azeyanagi , Tatsuma Nishioka , Tadashi Takayanagi This is my paper
classification ✦ hep-th gr-qc
keywords entropyentanglementblackextremalnearads2cft1hole
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We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. 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.

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