Notes on entanglement wedge cross sections

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Jokela , N & Pönni , A 2019 , ' Notes on entanglement wedge cross sections ' , Journal of High Energy Physics , no. 7 , 087 .

Title: Notes on entanglement wedge cross sections
Author: Jokela, Niko; Pönni, Arttu
Contributor: University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics
Date: 2019-07-16
Language: eng
Number of pages: 28
Belongs to series: Journal of High Energy Physics
ISSN: 1029-8479
Abstract: We consider the holographic candidate for the entanglement of purification E-P, given by the minimal cross sectional area of an entanglement wedge E-W. The E-P is generally very complicated quantity to obtain in field theories, thus to establish the conjectured relationship one needs to test if E-W and E-P share common features. In this paper the entangling regions we consider are slabs, concentric spheres, and creases in field theories in Minkowski space. The latter two can be mapped to regions in field theories defined on spheres, thus corresponding to entangled caps and orange slices, respectively. We work in general dimensions and for slabs we also consider field theories at finite temperature and confining theories. We find that E-W is neither a monotonic nor continuous function of a scale. We also study a full ten-dimensional string theory geometry dual to a non-trivial RG flow of a three-dimensional Chern-Simons matter theory coupled to fundamentals. We show that also in this case E-W behaves non-trivially, which if connected to E-P, lends further support that the system can undergo purification simply by expansion or reduction in scale.
Subject: AdS-CFT Correspondence
Gauge-gravity correspondence
115 Astronomy, Space science
114 Physical sciences

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