Celestial Superamplitudes

Abstract

We study celestial amplitudes in (super) Yang-Mills theory using a parameterisation of the spinor helicity variables where their overall phase is not fixed by the little group action. In this approach the spin constraint $h-\bar{h}=J$ for celestial conformal primaries emerges naturally from a new Mellin transform, and the action of conformal transformations on celestial amplitudes is derived. Applying this approach to $\mathcal{N}=4$ super Yang-Mills, we show how the appropriate definition of on-shell superspace coordinates leads naturally to a formulation of chiral celestial superamplitudes and a representation of the generators of the four-dimensional superconformal algebra on the celestial sphere, which by construction annihilate all tree-level celestial superamplitudes.

arXiv comment27 pages; Minor typos corrected, references added, version accepted to Phys. Rev. D

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Cited by in corpus (11)

• Lectures on Celestial Amplitudes
• Lectures on Celestial Holography
• Ambidextrous light transforms for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• Conformally Soft Fermions
• Celestial Geometry
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• The Grassmannian for Celestial Superamplitudes
• Celestial Holography