Physics Letters B (Dec 2022)

Covariant holographic reflected entropy in AdS3/CFT2

  • Mir Afrasiar,
  • Himanshu Chourasiya,
  • Vinayak Raj,
  • Gautam Sengupta

Journal volume & issue
Vol. 835
p. 137590

Abstract

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We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s with a conserved charge dual to bulk rotating extremal and non-extremal BTZ black holes through a replica technique. Our results match exactly with the corresponding extremal entanglement wedge cross section for these bulk geometries in the literature. This constitutes a significant consistency check for the proposal and its possible extension to the corresponding higher dimensional AdS/CFT scenario.