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Constraining gravity using entanglement in AdS/CFT

Banerjee, Shamik and Bhattacharyya, Arpan and Kaviraj, Apratim and Sen, Kallol and Sinha, Aninda (2014) Constraining gravity using entanglement in AdS/CFT. In: JOURNAL OF HIGH ENERGY PHYSICS (5).

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Official URL: http://dx.doi.org/10.1007/JHEP05(2014)029


We investigate constraints imposed by entanglement on gravity in the context of holography. First, by demanding that relative entropy is positive and using the Ryu-Takayanagi entropy functional, we find certain constraints at a nonlinear level for the dual gravity. Second, by considering Gauss-Bonnet gravity, we show that for a class of small perturbations around the vacuum state, the positivity of the two point function of the field theory stress tensor guarantees the positivity of the relative entropy. Further, if we impose that the entangling surface closes off smoothly in the bulk interior, we find restrictions on the coupling constant in Gauss-Bonnet gravity. We also give an example of an anisotropic excited state in an unstable phase with broken conformal invariance which leads to a negative relative entropy.

Item Type: Journal Article
Publisher: SPRINGER
Additional Information: copyright for this article belongs to SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Gauge-gravity correspondence; AdS-CFT Correspondence
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 09 Jun 2014 07:50
Last Modified: 09 Jun 2014 07:50
URI: http://eprints.iisc.ac.in/id/eprint/49216

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