Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$

Abstract

We establish our recently proposed holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional examples. In this context we compute the holographic entanglement negativity for mixed states of adjacent subsystems in $d$-dimensional conformal field theories dual to bulk $Ad{S}_{d+1}$ vacuum and $Ad{S}_{d+1}$-Schwarzschild black holes. These representative examples provide strong indication for the universality of our conjecture which affirms significant implications for diverse applications.

16 pages , 5 figures, minor revisions and references added

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• Notes on entanglement wedge cross sections
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_3/CF{\mathrm{T}}_2$
• Covariant holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
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• Time Evolution of Entanglement Negativity from Black Hole Interiors
• Entanglement and chaos near critical point in strongly coupled gauge theory
• Covariant holographic negativity from the entanglement wedge in AdS${}_3/$CFT${}_2$
• Mixed state information theoretic measures in boosted black brane
• Mixed state entanglement in deformed field theory at finite temperature
• Entanglement Negativity and Defect Extremal Surface
• Information theoretic measures for Lifshitz system
• Entanglement Negativity in Flat Holography
• Entanglement at the Soft-Hair Horizon
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge