Notes on entanglement wedge cross sections

DOI10.1007/JHEP07(2019)087zbMATH Open1418.81012arXiv1904.09582WikidataQ127464682 ScholiaQ127464682MaRDI QIDQ2317761

Author name not available (Why is that?)

Publication date: 12 August 2019

Published in: (Search for Journal in Brave)

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}

, similarly to holographic mutual information, is not a monotonic 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.

Full work available at URL: https://arxiv.org/abs/1904.09582

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Notes on entanglement wedge cross sections

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2317761)