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The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds

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arxiv 1910.14051 v2 pith:J2PQ42SH submitted 2019-10-30 hep-th astro-ph.COgr-qchep-ph

classification hep-thastro-ph.COgr-qchep-ph
keywords bootstrapcorrelatorscosmologicalexchangeoperatoroperatorsscalaracting
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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