# Islands for Entanglement Negativity

### Submission summary

 As Contributors: Jaydeep Kumar Basak · Debarshi Basu · Vinay Malvimat · Himanshu Parihar Preprint link: scipost_202107_00024v2 Date accepted: 2021-10-29 Date submitted: 2021-10-09 09:09 Submitted by: Malvimat, Vinay Submitted to: SciPost Physics Academic field: Physics Specialties: High-Energy Physics - Theory Approach: Theoretical

### Abstract

We advance two alternative proposals for the island contributions to the entanglement negativity of various pure and mixed state configurations in quantum field theories coupled to semiclassical gravity. The first construction involves the extremization of an algebraic sum of the generalized Renyi entropies of order half. The second proposal involves the extremization of the sum of the effective entanglement negativity of quantum matter fields and the backreacted area of a cosmic brane spanning the entanglement wedge cross section which also extremizes the generalized Renyi reflected entropy of order half. These proposals are utilized to obtain the island contributions to the entanglement negativity of various pure and mixed state configurations involving the bath systems coupled to extremal and non-extremal black holes in JT gravity demonstrating an exact match with each other. Furthermore, the results from both the proposals match precisely with the island contribution to half the Renyi reflected entropy of order half providing a strong consistency check. We then allude to a possible doubly holographic picture of our island proposals and provide a derivation of the first proposal by determining the corresponding replica wormhole contributions.

###### Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

We have examined the reports of the two referees for our submission scipost$\_202107\_00024$ entitled Islands for Entanglement Negativity". Note that the first referee has not requested any changes however has a few remarks to which we have responded in the corresponding author reply section. The second referee has requested two changes which have been incorporated in the revised version of the manuscript and are listed in the corresponding author reply section.

### List of changes

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

### Submission & Refereeing History

Resubmission scipost_202107_00024v2 on 9 October 2021
Submission scipost_202107_00024v1 on 14 July 2021

## Reports on this Submission

### Report

The authors have addressed the previous concerns and the manuscript can now be published.

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