The Grassmannian for Celestial Superamplitudes

Abstract

Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes. In this note we consider tree-level scattering amplitudes in $\mathcal{N}=4$ super Yang-Mills theory and present a Grassmannian formulation of their celestial counterparts. This result paves the way towards a geometric picture for celestial superamplitudes, in the spirit of positive geometries.

arXiv comment11 pages

References in corpus (27)

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Cited by in corpus (5)

• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Celestial amplitudes in an ambidextrous basis
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Internal boundaries of the loop amplituhedron
• Celestial OPE blocks