Modular hamiltonians and relative entropies for holographic states

In this talk, we will use the holographic entanglement entropy formulas to derive a simple expression for the modular hamiltonian in bulk perturbation theory, for an arbitrary state and subregion. This remarkably simple expression has interesting properties such as the equality of bulk and boundary modular flow and relative entropy, to leading order in the gravitational coupling. We will also comment on possible applications of this formula to entanglement wedge reconstruction. 
Michigan Center for Theoretical Physics,
Apr 19, 2016, 6:46 AM