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The cosmological bootstrap: weight-shifting operators and scalar seeds

A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block — the four-point function of conformally coupled scalars, arising from the exchange of a massive scalar. Correlators corres...

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Published in:The journal of high energy physics 2020-12, Vol.2020 (12), p.1-51, Article 204
Main Authors: Baumann, Daniel, Pueyo, Carlos Duaso, Joyce, Austin, Lee, Hayden, Pimentel, Guilherme L.
Format: Article
Language:English
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Summary:A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block — the four-point function of conformally coupled scalars, arising from the exchange of a massive scalar. Correlators corresponding to the exchange of particles with spin are then obtained by applying a spin-raising operator to the scalar-exchange solution. Similarly, the correlators of massless external fields can be derived by acting with a suitable weight-raising operator. In this paper, we present a systematic and highly streamlined derivation of these operators (and their generalizations) using tools of conformal field theory. Our results greatly simplify the theoretical foundations of the cosmological bootstrap program.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2020)204