2014/11/30 by Song He, Jia-Rui Sun, Hai-Qing Zhang
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2018.01.015
published as Nuclear Physics B 928 (2018) 160 · 25 pages, more discussions on validity of the 1st law-like relation at 2nd order added, references added
arxiv created 2016/11/23 · arxiv updated 2018/01/30
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.