The Grassmannian for Celestial Superamplitudes

TL;DR

This paper introduces a Grassmannian geometric framework for celestial superamplitudes in $ ext{N}=4$ super Yang-Mills theory, linking scattering amplitudes to positive geometries on the celestial sphere.

Contribution

It presents the first Grassmannian formulation of celestial superamplitudes, extending geometric methods to celestial holography in supersymmetric gauge theories.

Findings

Grassmannian formulation for celestial superamplitudes established

Links celestial amplitudes to positive geometries

Provides a geometric perspective on celestial holography

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.