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de Sitter locality from conformal field theory
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de Sitter locality from conformal field theory
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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.
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Cited by 1 Pith paper
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Massless Representations in Conformal Space and Their de Sitter Restrictions
Introduces a canonical Clifford-split-octonion framework to construct massless ladder representations of U(2,2) and restrict them to Sp(2,2) with explicit invariant forms and operators.
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