Carrollian Perspective on Celestial Holography

We show that a 3D sourced conformal Carrollian field theory has the right kinematic properties to holographically describe gravity in 4D asymptotically flat spacetime. The external sources encode the leaks of gravitational radiation at null infinity. TheWard identities of this theory are shown to reproduce those of the 2D celestial CFT after relating Carrollian to celestial operators. This suggests a new set of interplays between gravity in asymptotically flat spacetime, sourced conformal Carrollian field theory and celestial CFT.

Automated summary

In this paper, we demonstrate that a 3D sourced conformal Carrollian field theory possesses the appropriate kinematic properties to holographically describe gravity in 4D asymptotically flat spacetime. By relating Carrollian operators to celestial operators, the Ward identities of this theory are shown to reproduce those of the 2D celestial CFT, indicating a new set of interplays among gravity in asymptotically flat spacetime, sourced conformal Carrollian field theory, and celestial CFT.