Daniel BaumannCarlos Duaso PueyoAustin JoyceHayden LeeGuilherme L. Pimentel2024-02-012024-02-012019-10-311029-8479https://scholars.lib.ntu.edu.tw/handle/123456789/63945153 pages, 5 figures; V2: minor corrections and references addedA 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.Conformal Field Theory | Cosmology of Theories beyond the SM | Models of Quantum Gravity | Space-Time Symmetries; High Energy Physics - Theory; High Energy Physics - Theory; astro-ph.CO; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenologyjournal article10.1007/JHEP12(2020)2042-s2.0-85107328518http://arxiv.org/abs/1910.14051v2