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Carrollian Perspective on Celestial Holography

Laura Donnay, Adrien Fiorucci, Yannick Herfray, Romain Ruzziconi

TL;DR

The paper addresses how to holographically describe gravity in 4d asymptotically flat spacetimes by connecting two leading approaches: Carrollian holography on null infinity and celestial holography. It proposes a sourced conformal Carrollian field theory (CCarrFT) on $\mathscr{I}^+$, with external sources encoding radiation leaks, and derives Ward identities that reproduce celestial CFT (CCFT) Ward identities after an integral transform relating Carrollian to celestial operators. A concrete holographic dictionary is proposed, relating Carrollian momenta to Bondi data and identifying external sources with the Bondi news; this yields a bridge between the two flat-space holography programs and suggests new avenues for exploiting Carrollian techniques in celestial holography. The work opens multiple directions, including deriving CCarrFT correlators from Ward identities and exploring the flat-space limit of AdS/CFT within this integrated framework.

Abstract

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. The Ward 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.

Carrollian Perspective on Celestial Holography

TL;DR

The paper addresses how to holographically describe gravity in 4d asymptotically flat spacetimes by connecting two leading approaches: Carrollian holography on null infinity and celestial holography. It proposes a sourced conformal Carrollian field theory (CCarrFT) on , with external sources encoding radiation leaks, and derives Ward identities that reproduce celestial CFT (CCFT) Ward identities after an integral transform relating Carrollian to celestial operators. A concrete holographic dictionary is proposed, relating Carrollian momenta to Bondi data and identifying external sources with the Bondi news; this yields a bridge between the two flat-space holography programs and suggests new avenues for exploiting Carrollian techniques in celestial holography. The work opens multiple directions, including deriving CCarrFT correlators from Ward identities and exploring the flat-space limit of AdS/CFT within this integrated framework.

Abstract

We show that a sourced conformal Carrollian field theory has the right kinematic properties to holographically describe gravity in asymptotically flat spacetime. The external sources encode the leaks of gravitational radiation at null infinity. The Ward identities of this theory are shown to reproduce those of the 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.
Paper Structure (12 sections, 30 equations, 1 figure)

This paper contains 12 sections, 30 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Asymptotically flat spacetimes
  3. Solution space
  4. BMS and conformal Carrollian symmetries
  5. BMS charges
  6. Holographic nature of null infinity
  7. Sourced conformal Carrollian field theory
  8. Sourced Ward identities
  9. Application to conformal Carrollian field theory
  10. Holographic correspondence
  11. Relation with celestial holography
  12. Discussion

Figures (1)

  • Figure 1: Carrollian approach vs Celestial approach to flat space holography.