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.

23 pages and 4 figures, matches published version

References in corpus (11)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Entanglement entropy in Galilean conformal field theories and flat holography
• Some Aspects of Entanglement Wedge Cross-Section
• Reflected entropy in random tensor networks
• 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
• Odd entanglement entropy in Galilean conformal field theories and flat holography
• The Markov gap for geometric reflected entropy

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• 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