Nonlinear constraints on gravity from entanglement

Banerjee, Shamik and Kaviraj, Apratim and Sinha, Aninda (2015) Nonlinear constraints on gravity from entanglement. In: CLASSICAL AND QUANTUM GRAVITY, 32 (6).

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Abstract

Using the positivity of relative entropy arising from the Ryu-Takayanagi formula for spherical entangling surfaces, we obtain constraints at the nonlinear level for the gravitational dual. We calculate the Green's function necessary to compute the first order correction to the entangling surface and use this to find the relative entropy for non-constant stress tensors in a derivative expansion. We show that the Einstein value satisfies the positivity condition, while the multidimensional parameter space away from it gets constrained.

Item Type:	Journal Article
Publication:	CLASSICAL AND QUANTUM GRAVITY
Publisher:	IOP PUBLISHING LTD
Additional Information:	Copy right for this article belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Keywords:	AdS/CFT; holography; entanglement
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	20 Apr 2015 10:57
Last Modified:	20 Apr 2015 10:57
URI:	http://eprints.iisc.ac.in/id/eprint/51280

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