Considering the supersymmetry, the Einstein theory of general relativity brings to supergravity and the superspace gives a geometrical meaning to the supersymmetry transformations. I consider in this work the technical complete construction of D = 4, N = 1 supergravity in a geometrical way, i.e. using superforms in superspace as extension of spinor-tensor calculus. Starting by the pure D = 4, N = 1 supergravity, the coupling with scalar multiplets (multiplets of Wess-Zumino) and vector multiplets is performed. I use the concepts of supersymmetry, superspace and rheonomic principle. Bianchi identities are analyzed and resolved, ending with the Bianchi identity of gravitino. Supergravity theories are the effective theories of superstring theories.
Support the magazine and subscribe to the content
This is premium stuff. Subscribe to read the entire article.