# Entanglement Negativity in Flat Holography

### Submission summary

 As Contributors: Debarshi Basu · Ashish Chandra · Himanshu Parihar · Gautam Sengupta Preprint link: scipost_202107_00037v3 Date accepted: 2022-02-02 Date submitted: 2021-11-23 16:03 Submitted by: Sengupta, Gautam Submitted to: SciPost Physics 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.

Published as SciPost Phys. 12, 074 (2022)

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.

### Submission & Refereeing History

#### Published as SciPost Phys. 12, 074 (2022)

Resubmission scipost_202107_00037v3 on 23 November 2021
Resubmission scipost_202107_00037v2 on 9 October 2021
Submission scipost_202107_00037v1 on 21 July 2021

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