Entanglement entropy and duality in AdS_{4}
Abstract
Small variations of the entanglement entropy δS and the expectation value of the modular Hamiltonian δE 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, δS = δE, requires that the line element of the entangling curve remains constant. In this context, we also find a manifestation of electricmagnetic duality for the entanglement entropy and the corresponding modular Hamiltonian, following from the holographic energymomentum/Cotton tensor duality.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2015
 DOI:
 10.1016/j.nuclphysb.2015.04.027
 arXiv:
 arXiv:1503.00627
 Bibcode:
 2015NuPhB.896..440B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 43 pages, 2 figures, v2: a few clarifications have been added