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<p>Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in <i>D</i> dimensions is dual to a conformal Carrollian field theory in <i>D</i> – 1 dimensions living at null infinity. In this work, we elaborate on the definition of Carrollian amplitudes for massless scalar fields in general dimensions and provide explicit expressions for the two-, three-, and four-point functions. We show that these amplitudes naturally arise from Lorentzian holographic correlators in AdS/CFT through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary. Finally, we use the relation between Carrollian and celestial holography to derive explicit expressions for celestial amplitudes in <i>D</i> dimensions, which are reinterpreted as correlators of the celestial CFT in <i>D</i> − 2 dimensions.</p>

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On Carrollian and celestial correlators in general dimensions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月22日

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  • Harshal Kulkarni,
  • Romain Ruzziconi,
  • Akshay Yelleshpur Srikant

摘要

Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in D dimensions is dual to a conformal Carrollian field theory in D – 1 dimensions living at null infinity. In this work, we elaborate on the definition of Carrollian amplitudes for massless scalar fields in general dimensions and provide explicit expressions for the two-, three-, and four-point functions. We show that these amplitudes naturally arise from Lorentzian holographic correlators in AdS/CFT through a correspondence between the flat space limit in the bulk and the Carrollian limit at the boundary. Finally, we use the relation between Carrollian and celestial holography to derive explicit expressions for celestial amplitudes in D dimensions, which are reinterpreted as correlators of the celestial CFT in D − 2 dimensions.