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|Paper IPM / P / 14110||
We study corner contributions to holographic mutual information for entangling regions composed of a set of disjoint
sectors of a single infinite circle in 3-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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