Extremality as a Consistency Condition on Subregion Duality

Ronak M Soni

Extremality as a Consistency Condition on Subregion Duality

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arxiv 2403.19562 v4 pith:VNJBS6N4 submitted 2024-03-28 hep-th

Ronak M Soni This is my paper · ORCID

classification hep-th

keywords boundaryboundedcandidatecasedualityislandssubregionwithout

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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.

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