Analyze the extension to extended supersymmetry

Develop and analyze the proposed symplectic bi-Grassmannian, super-twistor, and supersymmetric Penrose-transform extensions for four-dimensional conformal theories with \(\mathcal{N}>1\) supersymmetry, including their \(R\)-symmetry and correlator structures.

Background

The appendix proposes a formal extension of the $\mathcal{N}=1$ construction to $\mathcal{N}>1$, with $SL(\mathcal{N})$ replacing the $R$-symmetry group, an enlarged supersymmetric delta function, modified covariance weights, and generalized super-incidence relations. These formulas are presented speculatively and are not developed or tested in detail.