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arXiv · 1511.00244

Holographic Mutual Information for Singular Surfaces

M. Reza Mohammadi Mozaffar·Ali Mollabashi·Farzad Omidi
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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.

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M. Reza Mohammadi Mozaffar, Ali Mollabashi, Farzad Omidi. 2016-02-27. Holographic Mutual Information for Singular Surfaces. https://doi.org/10.1007/jhep12(2015)082

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