On sufficient conditions for holographic scattering

Fuente: arXiv
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Auteurs principaux: Lima, Caroline, Pasterski, Sabrina, Waddell, Chris
Format: Preprint
Publié: 2025
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author Lima, Caroline
Pasterski, Sabrina
Waddell, Chris
author_facet Lima, Caroline
Pasterski, Sabrina
Waddell, Chris
contents Holography implies scattering in the bulk can be mediated by entanglement on the boundary. The connected wedge theorem (CWT) of May, Penington, and Sorce is a concrete example where bulk scattering implies correlation between certain boundary regions. However the converse does not hold. We investigate a recent proposal of Leutheusser and Liu for a generalization of the CWT with converse. We prove the forward direction: having pairs of CFT ``input'' (and likewise ``output'') regions in a phase with connected entanglement wedge implies that a particular bulk subregion (the intersection of ``input'' and ``output'' entanglement wedges) is non-empty. We then establish a modified version of the proposal which has a converse, and identify counter-examples to the stronger conjecture.
format Preprint
id arxiv_https___arxiv_org_abs_2509_26264
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On sufficient conditions for holographic scattering
Lima, Caroline
Pasterski, Sabrina
Waddell, Chris
High Energy Physics - Theory
Holography implies scattering in the bulk can be mediated by entanglement on the boundary. The connected wedge theorem (CWT) of May, Penington, and Sorce is a concrete example where bulk scattering implies correlation between certain boundary regions. However the converse does not hold. We investigate a recent proposal of Leutheusser and Liu for a generalization of the CWT with converse. We prove the forward direction: having pairs of CFT ``input'' (and likewise ``output'') regions in a phase with connected entanglement wedge implies that a particular bulk subregion (the intersection of ``input'' and ``output'' entanglement wedges) is non-empty. We then establish a modified version of the proposal which has a converse, and identify counter-examples to the stronger conjecture.
title On sufficient conditions for holographic scattering
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.26264