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ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY

Bhattacharyya, Arpan and Sinha, Aninda (2013) ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY. In: INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 22 (12, SI).

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Official URL: http://dx.doi.org/10.1142/S0218271813420200

Abstract

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighborhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1+1-dimensional (1 + 1d) conformal field theories (CFTs) at finite temperature whose gravity dual is Banados-Teitelboim-Zanelli (BTZ) black hole, the Gibbons-Hawking-York term precisely reproduces the entanglement entropy which can be computed independently in the field theory.

Item Type: Journal Article
Publication: INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
Additional Information: Copyright for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, SINGAPORE
Keywords: Holography; entanglement entropy; AdS/CFT
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 07 Feb 2014 06:43
Last Modified: 07 Feb 2014 06:43
URI: http://eprints.iisc.ac.in/id/eprint/48311

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