Holographic Mutual Information for Singular Surfaces

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.

35 pages, 25 Figures, v2: presentation improved, v3: matches published version in JHEP

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• On the Monogamy of Holographic $n$-partite Information
• Holographic Entanglement Entropy Decomposition in an Anisotropic Gauge Theory
• Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench
• On universal terms of holographic entanglement entropy in theories with hyperscaling violation
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• Holographic entanglement entropy for hollow cones and banana shaped regions
• Universal corner contributions to entanglement negativity
• Non-local Probes in Holographic Theories with Momentum Relaxation
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• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes