Abstract
At present it is becoming clear that the number N of gravitinos does not specify the kind of extended supergravity completely. Even in the simplest case, N = 1, we are aware of, at least, three supergravities. Two N = 2 versions are already known. For higher N one may expect even greater diversity. The versions differ by the content of auxiliary fields. Correspondingly, differences occur in the interactions with matter fields, in the mechanism of spontaneous symmetry breaking (when auxiliary fields get nonzero vacuum expectations); also, in some versions important additional local symmetries appear, etc. In view of all that it seems instructive to study the simplest case, N = 1, in detail. In the first part of the present talk we shall discuss N = 1 supergravity in the linearized limit, the structure of currents — sources in it and the free equations of motion. These quite elementary arguments are very useful in a preliminary sort out of the various possible sets of auxiliary fields.
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