On Carrollian and Celestial Correlators in General Dimensions

TL;DR

This paper develops a framework for Carrollian holography in general dimensions, deriving explicit correlators and connecting flat space limits to celestial amplitudes, advancing the understanding of flat space holography.

Contribution

It provides explicit expressions for Carrollian amplitudes and links them to celestial holography in arbitrary dimensions, extending previous flat space holography results.

Findings

Explicit Carrollian correlators for massless scalars in various dimensions.

Connection between Lorentzian AdS/CFT correlators and flat space Carrollian amplitudes.

Derived celestial amplitudes as correlators of celestial CFT in general dimensions.

Abstract

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.