On holographic entanglement entropy with second order excitations

He, Song (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am M├╝hlenberg 1, Golm, 14476, Germany) ; Sun, Jia-Rui (School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou, 510275, China) ; Zhang, Hai-Qing  (Department of Space Science and International Research Institute of Multidisciplinary Science, Beihang University, Beijing, 100191, China)

31 January 2018

Abstract: We study the low-energy corrections to the holographic entanglement entropy (HEE) in the boundary CFT by perturbing the bulk geometry up to second order excitations. Focusing on the case that the boundary subsystem is a strip, we show that the area of the bulk minimal surface can be expanded in terms of the conserved charges, such as mass, angular momentum and electric charge of the AdS black brane. We also calculate the variation of the energy in the subsystem and verify the validity of the first law-like relation of thermodynamics at second order. Moreover, the HEE is naturally bounded at second order perturbations if the cosmic censorship conjecture for the dual black hole still holds.

Published in: Nuclear Physics B (2018)
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2018.01.015
License: CC-BY-3.0

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