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On generalized gravitational entropy, squashed cones and holography

Bhattacharyya, Arpan and Sharma, Menika and Sinha, Aninda (2014) On generalized gravitational entropy, squashed cones and holography. In: JOURNAL OF HIGH ENERGY PHYSICS (1).

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Official URL: http://dx.doi.org/10.1007/JHEP01(2014)021

Abstract

We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement entropy for spherical and cylindrical surfaces. This is achieved by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy. We further show that the Wald entropy evaluated in the bulk geometry constructed for the regularized squashed cones leads to the correct universal parts of the entanglement entropy for both spherical and cylindrical entangling surfaces. We comment on the relation with the Iyer-Wald formula for dynamical horizons relating entropy to a Noether charge. Finally we show how to derive the entangling surface equation in Gauss-Bonnet holography.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the SPRINGER,USA
Keywords: Gauge-gravity correspondence; AdS-CFT Correspondence
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 12 Feb 2014 11:14
Last Modified: 12 Feb 2014 11:14
URI: http://eprints.iisc.ac.in/id/eprint/48365

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