Reflected entropy in Galilean conformal field theories and flat holography

Abstract

We obtain the reflected entropy for bipartite states in a class of $(1+1)$-dimensional Galilean conformal field theories ($GCF{T}_{1+1}$) through a replica technique. Furthermore we compare our results with the entanglement wedge cross section (EWCS) obtained for the dual (2+1) dimensional asymptotically flat geometries in the context of flat holography. We find that our results are consistent with the duality between the reflected entropy and the bulk EWCS for flat holographic scenarios.

arXiv comment23 pages and 4 figures, matches published version

References in corpus (42)

• A computable measure of entanglement
• Entanglement Entropy and Quantum Field Theory
• Entanglement entropy and conformal field theory
• The logarithmic negativity: A full entanglement monotone that is not convex
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Generalized gravitational entropy
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• The Gravity Dual of a Density Matrix
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• The BMS/GCA correspondence
• Holographic Entanglement of Purification
• Galilean Conformal Algebras and AdS/CFT
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• Entanglement entropy in Galilean conformal field theories and flat holography
• Entanglement of purification: from spin chains to holography
• GCA in 2d
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Entanglement Entropy in Flat Holography
• Derivation of holographic negativity in AdS${}_3$/CFT${}_2$
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Islands for Reflected Entropy
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Holographic Quantum Entanglement Negativity
• 3D Flat Holography: Entropy and Logarithmic Corrections
• Some Aspects of Entanglement Wedge Cross-Section
• Balanced Partial Entanglement and the Entanglement Wedge Cross Section
• Holographic Entanglement and Poincare blocks in three dimensional flat space
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Reflected Entropy and Entanglement Wedge Cross Section with the First Order Correction
• Reflected entropy in random tensor networks
• Holographic entanglement negativity conjecture for adjacent intervals in $Ad{S}_3/CF{T}_2$
• The Page Curve for Reflected Entropy
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Balanced Partial Entanglement and Mixed State Correlations
• Semi-classical BMS${}_3$ blocks and flat holography
• Entanglement negativity in Galilean conformal field theories
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Gravitation in flat spacetime from entanglement
• Odd entanglement entropy in Galilean conformal field theories and flat holography
• The Markov gap for geometric reflected entropy

Cited by in corpus (4)

• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Entanglement Wedge Cross Section Growth During Thermalization
• Mixed state information theoretic measures in boosted black brane
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures