The gravity dual of boundary causality
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Publication:2832397
DOI10.1088/0264-9381/33/17/175004zbMATH Open1349.83029arXiv1604.03944OpenAlexW2337733428MaRDI QIDQ2832397
Author name not available (Why is that?)
Publication date: 11 November 2016
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1604.03944
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