Supergroup formulation of Plebanski theory of gravity.

General relativity can be formulated as a SU(2) BF-theory with constraints, as shown by Plebanski [4]. Jacobson has given a SL(2, C) invariant fermionic extension of it, from which supergravity turns out [6]. We present a supersymmetric, Sp(2|1) invariant extension of the theory of Plebanski. Consistency requires that the constraints are properly generalized, resulting as well the action of supergravity. [ABSTRACT FROM AUTHOR]