Abstract
We extend the Ashtekar formulation of canonical gravity to N=2 supergravity. The action has a complex first-order chiral form and is invariant under two local supersymmetry transformations. Since we adopt a chiral formulation, left- and right-handed supersym metries appear in an asymmetric way. The supersymmetry algebra is not closed on auxiliary fields, which is a peculiar result of the chiral formulation, where the right-handed supersym metries are realized by constrained parameters.
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