Entanglement Entropy and Duality in AdS(4)
Abstract
Small variations of the entanglement entropy \delta S and the expectation value of the modular Hamiltonian \delta E are computed holographically for circular entangling curves in the boundary of AdS(4), using gravitational perturbations with general boundary conditions in spherical coordinates. Agreement with the first law of thermodynamics, \delta S = \delta E, requires that the line element of the entangling curve remains constant. In this context, we also find a manifestation of electric-magnetic duality for the entanglement entropy and the corresponding modular Hamiltonian, following from the holographic energy-momentum/Cotton tensor duality.
Cite
@article{arxiv.1503.00627,
title = {Entanglement Entropy and Duality in AdS(4)},
author = {Ioannis Bakas and Georgios Pastras},
journal= {arXiv preprint arXiv:1503.00627},
year = {2015}
}
Comments
43 pages, 2 figures, v2: a few clarifications have been added; final version to appear in Nucl. Phys. B