Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
High Energy Physics - Theory
2008-11-26 v4 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.0710.2956,
title = {Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1},
author = {Tatsuo Azeyanagi and Tatsuma Nishioka and Tadashi Takayanagi},
journal= {arXiv preprint arXiv:0710.2956},
year = {2008}
}
Comments
LaTeX, 32 pages, 7 figures; refinement in the organization