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.

11 pages

References in corpus (9)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Symmetries of Celestial Amplitudes
• The Yangian origin of the Grassmannian integral
• Ambidextrous light transforms for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Celestial superamplitude in $\mathcal{N}=4$ SYM theory
• Celestial Superamplitudes

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