Holographic Mutual Information for Singular Surfaces
Abstract
We study corner contributions to holographic mutual information for entangling regions composed of a set of disjoint sectors of a single infinite circle in three-dimensional conformal field theories. In spite of the UV divergence of holographic mutual information, it exhibits a first order phase transition. We show that tripartite information is also divergent for disjoint sectors, which is in contrast with the well-known feature of tripartite information being finite even when entangling regions share boundaries. We also verify the locality of corner effects by studying mutual information between regions separated by a sharp annular region. Possible extensions to higher dimensions and hyperscaling violating geometries is also considered for disjoint sectors.
Cite
@article{arxiv.1511.00244,
title = {Holographic Mutual Information for Singular Surfaces},
author = {M. Reza Mohammadi Mozaffar and Ali Mollabashi and Farzad Omidi},
journal= {arXiv preprint arXiv:1511.00244},
year = {2016}
}
Comments
35 pages, 25 Figures, v2: presentation improved, v3: matches published version in JHEP