Entanglement negativity, Holography and Black holes

Abstract

We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the holographic entanglement negativity for bipartite pure and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk pure $Ad{S}_{d+1}$ geometry and $Ad{S}_{d+1}$-Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.

32 pages, 3 figures, minor modifications

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• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
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• Replica Wormholes and Holographic Entanglement Negativity
• Islands for Entanglement Negativity
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• Non-local observables at finite temperature in AdS/CFT
• Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge
• Defect extremal surfaces for entanglement negativity
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Time Evolution of Entanglement Negativity from Black Hole Interiors
• The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
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• Mixed state information theoretic measures in boosted black brane
• Entanglement Negativity and Defect Extremal Surface
• Entanglement Negativity in Flat Holography
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$