Celestial Gluon Amplitudes from the Outside In

Abstract

We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation functions computed from the 2D `gluon' operators in a limit where a dynamic massless scalar decouples. We derive conditions on the two-dimensional three-point correlation function so that such a source exists and give two particular examples of this construction, one in which gluons are constructed from vertex operators in the semiclassical limit of Liouville theory and another in which the soft gluons arise from generalized free fields. Finally, we identify a bulk dual to the level of the boundary Kac-Moody algebra and discuss moving beyond the decoupling limit.

arXiv comment16 pages, v2: final version for JHEP, minor edits

References in corpus (20)

• Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
• A Conformal Basis for Flat Space Amplitudes
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• The self-dual sector of QCD amplitudes
• Celestial amplitudes and conformal soft theorems
• Asymptotic Symmetries and Celestial CFT
• Celestial Operator Product Expansions and ${\mathrm{w}}_{1+\infty }$ Symmetry for All Spins
• Conformally Soft Theorem In Gravity
• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• Top-down holography in an asymptotically flat spacetime
• Celestial Amplitudes as AdS-Witten Diagrams
• On Effective Field Theories with Celestial Duals
• Elements of Celestial Conformal Field Theory
• Celestial holography on Kerr-Schild backgrounds
• Celestial Liouville Theory for Yang-Mills Amplitudes
• Deforming Soft Algebras for Gauge Theory
• Celestial Supersymmetry
• Heavy-Heavy-Light-Light correlators in Liouville theory
• Multicollinear Singularities in Celestial CFT