%0 Journal Article %T The Ashtekar Formalism and WKB Wave Functions of N=1,2 Supergravities %A Takashi Sano %J Physics %D 1992 %I arXiv %X The N=1,2 supergravities with non-zero cosmological constants are investigated in the Ashtekar formalism. We solve the constraints of the N=1,2 supergravities semi-classically. The resulting WKB wave functions are expressed by exponentials of supersymmetric-extended SL(2,C) Chern-Simons functional. %U http://arxiv.org/abs/hep-th/9211103v1