de Sitter locality from conformal field theory

Fuente: arXiv
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Autores principales: Dey, Parijat, Huang, Zhongjie, Lipstein, Arthur
Formato: Preprint
Publicado: 2025
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author Dey, Parijat
Huang, Zhongjie
Lipstein, Arthur
author_facet Dey, Parijat
Huang, Zhongjie
Lipstein, Arthur
contents An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how to reconstruct a conformally coupled scalar effective field theory (EFT) with higher derivative interactions in four-dimensional de Sitter space from its in-in correlators. The latter can be computed from a certain EFT in Euclidean Anti-de Sitter space involving two scalar fields, which we derive from crossing symmetry of boundary correlators along with two novel constraints arising from unmixing anomalous dimensions of degenerate operators and equating them in different OPE channels. To facilitate the analysis, we work in Mellin space and apply dispersion relations to extract anomalous dimensions more efficiently.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15627
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle de Sitter locality from conformal field theory
Dey, Parijat
Huang, Zhongjie
Lipstein, Arthur
High Energy Physics - Theory
An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how to reconstruct a conformally coupled scalar effective field theory (EFT) with higher derivative interactions in four-dimensional de Sitter space from its in-in correlators. The latter can be computed from a certain EFT in Euclidean Anti-de Sitter space involving two scalar fields, which we derive from crossing symmetry of boundary correlators along with two novel constraints arising from unmixing anomalous dimensions of degenerate operators and equating them in different OPE channels. To facilitate the analysis, we work in Mellin space and apply dispersion relations to extract anomalous dimensions more efficiently.
title de Sitter locality from conformal field theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2508.15627