Cosmological Correlators in Gauge Theory and Gravity from EAdS

Abstract

In this work we examine in more detail the map between late-time correlators in de Sitter space and boundary correlators in Euclidean anti-de Sitter space, elaborating on the general construction presented in arXiv:2007.09993 and arXiv:2109.02725 for EFTs of bosonic spinning fields. This map may be phrased as an equivalence between the generating functional of late-time correlators in the Schwinger-Keldysh formalism and the generating functional for boundary correlators in the corresponding EAdS theory. We extend the construction to gauge bosons and gravitons, and clarify additional subtleties that appear in even boundary dimensions. Finally, we emphasise that the relation between dS and EAdS propagators is manifest in Mellin space, and we provide new expressions for gauge-boson and graviton propagators. These results provide a streamlined framework for the study of cosmological correlators involving spinning fields.