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arXiv · 2507.17558

Celestial Holography meets dS/CFT

Hideo Furugori·Naoki Ogawa·Sotaro Sugishita·Takahiro Waki
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Abstract

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 to theories on the $(D+1)$-dimensional sphere, through a Weyl rescaling and a Fourier transformation. An analytic continuation extends this map to a relation between QFTs in Minkowski spacetime $\text{M}_{D+2}$ and in de Sitter spacetime $\text{dS}_{D+1}$ 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.

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Hideo Furugori, Naoki Ogawa, Sotaro Sugishita, Takahiro Waki. 2025-07-23. Celestial Holography meets dS/CFT. https://arxiv.org/abs/2507.17558

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