Advances in Theoretical and Mathematical Physics

Volume 16 (2012)

Number 5

Super-Poincarè algebras, space-times and supergravities (I)

Pages: 1411 – 1441



Andrea Santi (Faculté des Sciences, de la Technologie et de la Communication, Université du Luxembourg)

Andrea Spiro (Scuola di Scienze e Tecnologie, Università di Camerino, Italy)


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.

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