Covariant holographic entanglement negativity

Abstract

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $Ad{S}_{d+1}$ configurations. Application of our conjecture to $(1+1)$-dimensional conformal field theories dual to bulk rotating BTZ black holes exactly reproduces the corresponding entanglement negativity in the large central charge limit and characterizes the distillable entanglement. We further demonstrate that our conjecture applied to the case of bulk extremal rotating BTZ black holes also characterizes the entanglement negativity for the chiral half of the corresponding zero temperature $(1+1)$-dimensional holographic conformal field theories.

17 pages latex, substantial modifications, references added

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Cited by in corpus (21)

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• Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• 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 $Ad{S}_3/CF{T}_2$
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Islands for Entanglement Negativity
• Page Curve for Entanglement Negativity through Geometric Evaporation
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge
• Defect extremal surfaces for entanglement negativity
• Inter-universal entanglement in a cyclic multiverse
• Time Evolution of Entanglement Negativity from Black Hole Interiors
• Covariant holographic negativity from the entanglement wedge in AdS${}_3/$CFT${}_2$
• On minimal entanglement wedge cross section for holographic entanglement negativity
• Entanglement Negativity and Defect Extremal Surface
• Entanglement Negativity in Flat Holography
• 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