Bulk Locality from Entanglement in Gauge/Gravity Duality
Abstract
Gauge/gravity duality posits an equivalence between certain strongly coupled quantum field theories and theories of gravity with negative cosmological constant in a higher number of spacetime dimensions. The map between the degrees of freedom on the two sides is non-local and incompletely understood. I describe recent work towards characterizing this map using entanglement in the QFT, where near the dual AdS boundary, the classical energy density at a point in the bulk is stored in the relative entropies of boundary subregions whose homologous minimal surfaces pass through the bulk point. I also derive bulk classical energy conditions near the AdS boundary from entanglement inequalities in the CFT. This is based on the paper [1] with Matilde Marcolli, Hirosi Ooguri and Bogdan Stoica. More generally, in recent years, there has appeared some evidence that quantum entanglement is responsible for the emergence of spacetime. I review and comment on the state of these developments.
Cite
@article{arxiv.1510.02367,
title = {Bulk Locality from Entanglement in Gauge/Gravity Duality},
author = {Jennifer Lin},
journal= {arXiv preprint arXiv:1510.02367},
year = {2015}
}
Comments
PhD thesis. Section 1.5 (especially 1.5.2, 1.5.6, 1.5.7), with 1.2.2 as intro/motivation, contains the bulk of comments pertinent to "entanglement and spacetime". Error correction is very welcome. Chapter 2 overlaps with [1]. There are no new quantitative results