SUPERFIELD ANALYSIS OF SUPERGRAVITY

We construct a superfield theory of supergravity based on new torsion and curvature conditions in a supermanifold, in particular that the latter is superflat with specified (Dirac matrices) super-torsion in the Fermi sector. After an introductory review of super-manifold differential geometry, the super-torsion equations for the achtbein are written down and solved explicitly. The resulting solutions are then analysed from the viewpoint of super-co-ordinate invariance. The Lagrangian det VMA is shown to contain supergravity as well as various auxiliary variables. © 1979.