Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces

Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives $\nabla{}_{\underline A}$, torsion supertensors $T{}_{{\underline A} \, {\underline B}}{}^{{\underline C}}$, and curvature $R{}_{{\underline B}}{}_{\, \underline c} {}^{\underline d}$ in 10D superspaces. Starting from proposal that an unconstrained supergravity prepotential for 11D, $\mathcal{N}$ = 1 theory is described by a scalar superfield, considerations prepotentials theories enumerated. We derive infinitesimal superspace discover ten possible 10D, superfield prepotentials. The first identification all off-shell dimensional supergeometrical field strength tensors, constructed respective torsions, presented.