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

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

2007-10-16

arxiv.org/abs/0710.2956v4

Phys.Rev.D77:064005,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 32 pages, 7 figures; refinement in the organization

Scientific paper

10.1103/PhysRevD.77.064005

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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