Gluon Amplitudes as 2d Conformal Correlators

Abstract

Recently, spin-one wavefunctions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wavefunctions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The BCFW recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

27 pages

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• Conformal Blocks from Celestial Gluon Amplitudes
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• Conformally Soft Fermions
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• Towards higher-spin holography in flat space
• Celestial Recursion
• Celestial amplitudes in an ambidextrous basis
• Logarithmic Celestial Conformal Field Theory
• Celestial Geometry
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• Correlators of Four Light-Ray Operators in CCFT
• Poincaré Constraints on Celestial Amplitudes
• Chaos in Celestial CFT
• All-order celestial OPE from on-shell recursion
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering
• Detector Operators for Celestial Symmetries
• The Holographic Soft $S$-Matrix in QED and Gravity
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
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• $p$-Forms on the Celestial Sphere
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