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High Energy Physics - Theory, hep-th
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.
