Celestial holography meets dS/CFT

A bstract We provide a concrete link between celestial amplitudes and cosmological correlators. We first construct a map from quantum field theories (QFTs) in ( D + 2)-dimensional Euclidean space ℝ D +2 to theories on ( D + 1)-dimensional sphere, through a Weyl rescaling and a Fourier transformation. An analytic continuation extends this map to a relation between QFTs in Minkowski spacetime M D +2 and in de Sitter spacetime dS D +1 with the Bunch-Davies vacuum. Combining this relation with celestial holography, we show that the extrapolated operators in de Sitter space can be represented by operators on the celestial sphere S D . Our framework offers a systematic route to transfer computational techniques and physical insights between celestial holography and the dS/CFT correspondence.