Celestial superamplitude in $$ \mathcal{N} $$ = 4 SYM theory

A bstract Celestial amplitude is a new reformulation of momentum space scattering amplitudes and offers promising way for flat holography. In this paper, we study the celestial in $$ \mathcal{N} N = 4 Super-Yang-Mills (SYM) theory aiming at understanding role superconformal symmetry We first construct generators acting on superfield which assembles all on-shell fields multiplet together terms variables Grassmann parameters. These satisfy algebra SYM theory. also compute three-point four-point super-amplitudes explicitly. They can be identified as conformal correlation functions superfields living sphere. further soft collinear limits give rise to super-Ward identity super-OPE sphere, respectively. Our results initiate perspective well-studied via 2D field