Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations

Understand

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.