Work

On shape dependence of holographic mutual information in AdS4

Year: 2015

Type: article

Abstract: We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against existing analytic results for the holographic entanglement entropy, we compute the holographic mutual information of equal domains delimited by ellipses, superellipses or the boundaries of two dimensional spherocylinders, finding also the corresponding transition curves along which the holographic mutual information vanishes.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2015)005

Authors: Piermarco Fonda, Luca Giomi, Alberto Salvio, Erik Tonni

Institutions: Scuola Internazionale Superiore di Studi Avanzati, Leiden University, Consejo Superior de Investigaciones Científicas, Instituto de Física Teórica, Universidad Autónoma de Madrid

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Ministerio de Economía y Competitividad, Institut Périmètre de physique théorique

Awards: G2804322916, G3322511809, G4590704245