Poincaré Constraints on Celestial Amplitudes

Abstract

The functional structure of celestial amplitudes as constrained by Poincaré symmetry is investigated in $2,3,$ and $4$-point cases for massless external particles of various spin, as well as massive external scalars. Functional constraints and recurrence relations are found (akin to the findings in arXiv:1901.01622) that must be obeyed by the respective permissible correlator structures and function coefficients. In specific three-point cases involving massive scalars the resulting recurrence relations can be solved, e.g. reproducing purely from symmetry a three-point function coefficient known in the literature. Additionally, as a byproduct of the analysis, the three-point function coefficient for gluons in Minkowski signature is obtained from an amplitude map to the celestial sphere.

arXiv comment26 pages, no figures, typos fixed

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Cited by in corpus (9)

• Bridging Carrollian and Celestial Holography
• Extended BMS Algebra of Celestial CFT
• BMS Symmetry of Celestial OPE
• Double Copy for Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• Loops on the Celestial Sphere
• Conformal Primary Basis for Dirac Spinors
• Bulk locality from the celestial amplitude
• Light transformed gluon correlators in CCFT