Journal
FOUNDATIONS OF PHYSICS
Volume 40, Issue 6, Pages 638-657Publisher
SPRINGER
DOI: 10.1007/s10701-010-9430-6
Keywords
Black holes; Entanglement entropy; Holographic principle; Two-dimensional conformal field theory
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We investigate quantum entanglement of gravitational configurations in 3D AdS gravity using the AdS/CFT correspondence. We derive explicit formulas for the holographic entanglement entropy (EE) of the BTZ black hole, conical singularities and regularized AdS(3). The leading term in the large temperature expansion of the holographic EE of the BTZ black hole reproduces exactly its Bekenstein-Hawking entropy S (BH) , whereas the subleading term behaves as ln S (BH) . We also show that the leading term of the holographic EE for the BTZ black hole can be obtained from the large temperature expansion of the partition function of a broad class of 2D CFTs on the torus. This result indicates that black hole EE is not a fundamental feature of the underlying theory of quantum gravity but emerges when the semiclassical notion of spacetime geometry is used to describe the black hole.
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