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Entanglement Negativity in Flat Holography

by Debarshi Basu, Ashish Chandra, Himanshu Parihar, Gautam Sengupta

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Submission summary

Authors (as registered SciPost users): Debarshi Basu · Ashish Chandra · Himanshu Parihar · Gautam Sengupta
Submission information
Preprint Link: scipost_202107_00037v3  (pdf)
Date accepted: 2022-02-02
Date submitted: 2021-11-23 16:03
Submitted by: Sengupta, Gautam
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We advance holographic constructions for the entanglement negativity of bipartite states in a class of $(1+1)-$dimensional Galilean conformal field theories dual to asymptotically flat three dimensional bulk geometries described by Einstein Gravity and Topologically Massive Gravity. The construction involves specific algebraic sums of the lengths of bulk extremal curves homologous to certain combinations of the intervals appropriate to such bipartite states. Our analysis exactly reproduces the corresponding replica technique results in the large central charge limit. We substantiate our construction through a semi classical analysis involving the geometric monodromy technique for the case of two disjoint intervals in such holographic Galilean conformal field theories.

Author comments upon resubmission

We have examined the appended report of the second referee for our submission scipost\_202107\_00037v2 entitled " Entanglement Negativity in Flat Holography" seeking further clarification of the issue. Our detailed response to the referee's comment and further clarification of the issue is provided in the comment section in reply to the referee. We have included the clarifications in our revised manuscript as suggested by the referee and detailed the issue further in two new appendices B and C.

List of changes

We have provided the complete list of changes in the authors response section.

Published as SciPost Phys. 12, 074 (2022)


Reports on this Submission

Anonymous Report 2 on 2021-12-22 (Invited Report)

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I am happy with the authors' responses to my question and added sections in the article.

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Anonymous Report 1 on 2021-12-6 (Invited Report)

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I recommend the publication of this paper on SciPost Physics. The paper overall is OK, although the originality and significance are not so impressive.

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