An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.
The Grassmannian for Celestial Superamplitudes
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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.
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A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography
An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.