Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1) - INSPIRE

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Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1)

Oct, 2007

31 pages

Published in:

Phys.Rev.D 77 (2008) 064005

e-Print:

0710.2956 [hep-th]

DOI:

10.1103/PhysRevD.77.064005

Report number:

KUNS-2105

View in:

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Abstract: (arXiv)

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.

04.50.Gh
04.70.Dy
entropy: entanglement
field theory: conformal
black hole: entropy
black hole: BTZ
AdS/CFT correspondence
two-point function
high temperature expansion

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