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<p>We provide a concrete link between celestial amplitudes and cosmological correlators. We first construct a map from quantum field theories (QFTs) in (<i>D</i> + 2)-dimensional Euclidean space ℝ<sup><i>D</i>+2</sup> to theories on (<i>D</i> + 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<sub><i>D</i>+2</sub> and in de Sitter spacetime dS<sub><i>D</i>+1</sub> 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<sup><i>D</i></sup>. Our framework offers a systematic route to transfer computational techniques and physical insights between celestial holography and the dS/CFT correspondence.</p>

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Celestial holography meets dS/CFT

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月17日

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  • Hideo Furugori,
  • Naoki Ogawa,
  • Sotaro Sugishita,
  • Takahiro Waki

摘要

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 ℝD+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 MD+2 and in de Sitter spacetime dSD+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 SD. Our framework offers a systematic route to transfer computational techniques and physical insights between celestial holography and the dS/CFT correspondence.