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Entanglement Wedge in Flat Holography and Entanglement Negativity

by Debarshi Basu, Ashish Chandra, Vinayak Raj, Gautam Sengupta

Submission summary

As Contributors: Debarshi Basu · Vinayak Raj · Gautam Sengupta
Preprint link: scipost_202107_00038v3
Date submitted: 2022-01-12 13:26
Submitted by: Sengupta, Gautam
Submitted to: SciPost Physics Core
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

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.

Current status:
Editor-in-charge assigned


Author comments upon resubmission

We have made the minor modification sought by the Editor and removed the part from the paragraph after eqn.(15)
on Page 8, as suggested by the Referee1.

List of changes

Please see the Author Comments.

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