title: Localization of negative energy and the Bekenstein bound.
abstract: A simple argument shows that negative energy cannot be isolated far away from positive energy in a conformal field theory and strongly constrains its possible dispersal. This is also required by consistency with the Bekenstein bound written in terms of the positivity of relative entropy. We prove a new form of the Bekenstein bound based on the monotonicity of the relative entropy, involving a "free" entropy enclosed in a region which is highly insensitive to space-time entanglement, and show that it further improves the negative energy localization bound.
authors: Centro Atómico Bariloche, San Carlos de Bariloche 8400, Río Negro, Argentina.
authors: David D
authors: DD
authors: Blanco
authors: Centro Atómico Bariloche, San Carlos de Bariloche 8400, Río Negro, Argentina.
authors: Horacio
authors: H
authors: Casini