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Entanglement entropy from the holographic stress tensor

Bhattacharyya, Arpan and Sinha, Aninda (2013) Entanglement entropy from the holographic stress tensor. In: CLASSICAL AND QUANTUM GRAVITY, 30 (23).

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Official URL: http://dx.doi.org/10.1088/0264-9381/30/23/235032

Abstract

We consider entanglement entropy in the context of gauge/gravity duality for conformal field theories in even dimensions. The holographic prescription due to Ryu and Takayanagi (RT) leads to an equation describing how the entangling surface extends into the bulk geometry. We show that setting to zero, the timetime component of the Brown-York stress tensor evaluated on the co-dimension 1 entangling surface, leads to the same equation. By considering a spherical entangling surface as an example, we observe that the Euclidean actionmethods in AdS/CFT will lead to the RT area functional arising as a counterterm needed to regularize the stress tensor. We present arguments leading to a justification for the minimal area prescription.

Item Type: Journal Article
Additional Information: copyright for this article belongs to IOP PUBLISHING LTD,ENGLAND
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 17 Dec 2013 05:45
Last Modified: 17 Dec 2013 05:45
URI: http://eprints.iisc.ac.in/id/eprint/47936

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