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Paper   IPM / Physic / 14110
School of Physics
  Title:   Holographic Mutual Information For Singular Surfaces
1.  M.R. Mohammadi Mozaffar
2.  A. Mollabashi
3.  F. Omidi
  Status:   Published
  Journal: JHEP
  Vol.:  1512
  Year:  2015
  Pages:   082
  Supported by:  IPM
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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