On supergravity theories, after ∼ 40 years

An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N = 1 supergravity theory, a discussion of N =1 matter-supergravity couplings, of the scalar sector and of some simple models. Space-time is four-dimensional.