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 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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Mozaffar, M.R.M., Mollabashi, A. & Omidi, F. Holographic mutual information for singular surfaces. J. High Energ. Phys. 2015, 1–32 (2015). https://doi.org/10.1007/JHEP12(2015)082
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DOI: https://doi.org/10.1007/JHEP12(2015)082