The Gravity Dual of Boundary Causality
arXiv:1604.03944 · doi:10.1088/0264-9381/33/17/175004
Abstract
In gauge/gravity duality, points which are not causally related on the boundary cannot be causally related through the bulk; this is the statement of boundary causality. By the Gao-Wald theorem, the averaged null energy condition in the bulk is sufficient to ensure this property. Here we proceed in the converse direction: we derive a necessary as well as sufficient condition for the preservation of boundary causality under perturbative (quantum or stringy) corrections to the bulk. The condition that we find is a (background-dependent) constraint on the amount by which light cones can "open" over all null bulk geodesics. We show that this constraint is weaker than the averaged null energy condition.
14+5 pages, 3 figures. v2: addressed referee comments; amended figures
References in corpus (2)
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