Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations

TL;DR

This paper explores the relationship between celestial and momentum space amplitudes in massless particle theories, focusing on dual superconformal symmetry in $ 4$ Yang-Mills and the differential equations governing celestial MHV amplitudes.

Contribution

It identifies the celestial counterpart of dual superconformal symmetry and connects celestial differential equations to their momentum space origins.

Findings

Celestial dual superconformal symmetry is characterized in $ 4$ Yang-Mills.

Differential equations for celestial MHV amplitudes are derived from momentum space.

The relationship between celestial and momentum space amplitudes via Mellin transform is clarified.

Abstract

Celestial and momentum space amplitudes for massless particles are related to each other by a change of basis provided by the Mellin transform. Therefore properties of celestial amplitudes have counterparts in momentum space amplitudes and vice versa. In this paper, we study the celestial avatar of dual superconformal symmetry of $\mathcal{N}=4$ Yang-Mills theory. We also analyze various differential equations known to be satisfied by celestial $n$-point tree-level MHV amplitudes and identify their momentum space origins.