Celestial Locality and the Jacobi Identity

Abstract

We show the equivalence of several different tests of the Jacobi identity for celestial currents at tree level, in particular finding a simple, practical condition on hard momentum space 4-point amplitudes in any EFT. Along the way we clarify the role of the order of soft and collinear limits in obstructing Jacobi for soft insertions and we argue that, despite their current-algebra-like properties, soft insertions as formulated in this paper cannot be interpreted as local operators in celestial conformal field theory.

18 pages, 1 figure; v2 typos corrected, references added

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Cited by in corpus (11)

• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Deforming Soft Algebras for Gauge Theory
• All-order celestial OPE in the MHV sector
• Multicollinear Singularities in Celestial CFT
• All-order celestial OPE from on-shell recursion
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Deformed $w_{1+\infty }$ Algebras in the Celestial CFT
• Currents in Celestial CFT
• Multiparticle Contributions to the Celestial OPE
• Double-soft limit and celestial shadow OPE from charge bracket
• Non-abelian soft radiation data for a celestial theory