Ashtekar's formulation for N=1,2 supergravities as "constrained" BF theories

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It is known that Ashtekar's formulation for pure Einstein gravity can be cast into the form of a topological field theory, namely the SU(2) BF theory, with the B-fields subject to an algebraic constraint. We extend this relation between Ashtekar's formalism and BF theories to N=1 and N=2 supergravities. The relevant gauge groups in these cases become graded Lie groups of SU(2) which are generated by left-handed local Lorentz transformations and left-supersymmetry transformations. As a corollary of these relations, we provide topological solutions for N=2 supergravity with a vanishing cosmological constant. It is also shown that, due to the algebraic constraints, the Kalb-Ramond symmetry which is characteristic of BF theories breaks down to the symmetry under diffeomorphisms and right-supersymmetry transformations.