The Ashtekar Formalism and WKB Wave Functions of N=1,2 Supergravities

Abstract

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.

arXiv comment19pages

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