Super-Poincarè algebras, space-times and supergravities I

Abstract

A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of simple 4D-supergravity of Wess and Zumino and it is designed to obtain geometric descriptions for the supergravities that correspond to the super Poincarè algebras of Alekseevsky and Cortés’ classification.