Holographic mutual information for singular surfaces

M. Reza Mohammadi Mozaffar, Ali Mollabashi, Farzad Omidi
2015 Journal of High Energy Physics  
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
more » ... en 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.
doi:10.1007/jhep12(2015)082 fatcat:6o6t7lit5nhn7d7mtjintgvgia