We study the holographic mutual information in AdS(4) 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.

On shape dependence of holographic mutual information in AdS4

Fonda, Piermarco;Giomi, Luca;Tonni, Erik
2015

Abstract

We study the holographic mutual information in AdS(4) 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.
2015
2
1
50
005
10.1007/JHEP02(2015)005
https://arxiv.org/abs/1411.3608
Fonda, Piermarco; Giomi, Luca; Salvio, A.; Tonni, Erik
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32563
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