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Extremality as a Consistency Condition on Subregion Duality
by Ronak M Soni
Submission summary
| Authors (as registered SciPost users): | Ronak Soni |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2403.19562v1 (pdf) |
| Date submitted: | 2024-04-05 01:11 |
| Submitted by: | Soni, Ronak |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In JT gravity coupled to a CFT, I argue without using the path integral that the entanglement wedge of a boundary region is bounded by a quantum extremal surface (QES). For any candidate not bounded by a QES, a unitary in the complement can make reconstruction within the candidate inconsistent with boundary causality. The case without islands is a direct consequence of subregion duality, and the case with islands can also be dealt with with a stronger assumption.
Current status:
Reports on this Submission
Report
This paper argues that the entanglement wedge is bounded by the QES. Comparing with the old argument, the advantage of this paper is that it is purely in Lorentz picture. This paper studies an important question and provides inspiring discussions. Based on this reason, I suggest the paper to be published.
Recommendation
Publish (meets expectations and criteria for this Journal)
Strengths
1- very interesting result
2- clear exposition
3- clear study of assumptions
Report
This is a very nice paper that shows under some carefully studied assumptions that the entanglement wedge of a boundary subregion in JT coupled to a CFT must be bounded by a QES. By computing the Connes cocycle unitary of a boundary state with respect to the vacuum, the author is able to violate the property of complementary causal wedge exclusion in the case where the region is bounded by anything else than a QES, which leads to a contradiction.
I found the derivation in this paper interesting as it provides a very geometric and completely Lorentzian understanding of why a QES has special recovery properties. I also think the paper is careful with its assumptions and provides an extensive and honest analysis of where they might break down (especially in the case with islands). Therefore I am happy to recommend this paper for publication in SciPost.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)