Entanglement Wedge in Flat Holography and Entanglement Negativity

Abstract

We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual $(1+1)$-dimensional Galilean conformal field theories in the context of flat space holography. In this connection we propose a definition for the bulk entanglement wedge cross section for bipartite states of such dual non relativistic conformal field theories. Utilizing our construction for the entanglement wedge cross section we compute the entanglement negativity for such bipartite states through the generalization of an earlier proposal, in the context of the usual $AdS/CFT$ scenario, to flat space holography. The entanglement negativity obtained from our construction exactly reproduces earlier holographic results and match with the corresponding field theory replica technique results in the large central charge limit.

53 pages, 10 figures and 2 appendices, v2: minor modifications, references added

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Cited by in corpus (19)

• Balanced Partial Entanglement and Mixed State Correlations
• A BMS-invariant free fermion model
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Ownerless island and partial entanglement entropy in island phases
• Defect extremal surfaces for entanglement negativity
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Reflected entropy in Galilean conformal field theories and flat holography
• Bounding entanglement wedge cross sections
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Mixed state information theoretic measures in boosted black brane
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Odd entanglement entropy in Galilean conformal field theories and flat holography
• Covariant holographic reflected entropy in $Ad{S}_3/CF{T}_2$
• Information theoretic measures for Lifshitz system
• Revisit the entanglement entropy with gravitational anomaly
• Entanglement at the Soft-Hair Horizon
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$