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Extremality as a Consistency Condition on Subregion Duality
by Ronak M Soni
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Ronak Soni |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2403.19562v2 (pdf) |
| Date accepted: | 2024-10-23 |
| Date submitted: | 2024-09-06 08:10 |
| Submitted by: | Soni, Ronak |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| 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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
Rearranged the presentation for clarity.
Major changes:
1. More discussion of plausibility of assumptions (sec 4.1).
2. More steps in the logic of the main argument, including clear indication of where each assumption is used (sec 4.2).
3. Moved discussion of dressing to section 3.4
4. Changed some notation; now, *all* bulk operators are small letters.
Published as SciPost Phys. 17, 133 (2024)
Reports on this Submission
Strengths
A novel argument for QES formula.
Weaknesses
none
Report
This paper uses a nice idea of complementary causal wedge exclusion to argue that QES is the only option for the boundary of entanglement wedge. Explicit argument has been demonstrated in JT gravity.
Requested changes
The discussion around equation 4.7 which is the main argument of the paper is rather short. I would require an expanded paragraph to explain the logic in words. If this can be demonstrated by a figure that will be even better.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
Author: Ronak Soni on 2024-10-11 [id 4859]
(in reply to Report 1 on 2024-10-11)Thank you. This is a good suggestion and I will implement it.