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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
Preprint Link: https://arxiv.org/abs/2403.19562v2  (pdf)
Date submitted: 2024-09-06 08:10
Submitted by: Soni, Ronak
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
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.

Current status:
In refereeing

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