Odd entanglement entropy in Galilean conformal field theories and flat holography

Abstract

The odd entanglement entropy (OEE) for bipartite states in a class of $(1+1)$-dimensional Galilean conformal field theories ($GCF{T}_{1+1}$) is obtained through an appropriate replica technique. In this context our results are compared with the entanglement wedge cross section (EWCS) for $(2+1)$-dimensional asymptotically flat geometries dual to the $GCF{T}_{1+1}$ in the framework of flat holography. We find that our results are consistent with the duality of the difference between the odd entanglement entropy and the entanglement entropy of bipartite states, with the bulk EWCS for flat holographic scenarios.

28 pages, 3 figures, match published version. arXiv admin note: text overlap with arXiv:2202.01201

References in corpus (7)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Entanglement entropy in Galilean conformal field theories and flat holography
• Finite temperature entanglement negativity in conformal field theory
• Holographic entanglement negativity and replica symmetry breaking
• Balanced Partial Entanglement and the Entanglement Wedge Cross Section
• Entanglement Wedge in Flat Holography and Entanglement Negativity

Cited by in corpus (4)

• Reflected entropy in Galilean conformal field theories and flat holography
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Mixed state information theoretic measures in boosted black brane
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$