Abstract
The N = 1 self-dual supergravity has SL(2, ℂ) symmetry. This symmetry results inSU(2) charges as the angular momentum. As innonsupersymmetric self-dual gravity, the currents arealso of their potentials and are therefore identically conserved. Thecharges are generally invariant and gauge covariantunder local SU(2) transforms and approach being rigid atspatial infinity. The Poisson brackets constitute the su(2) algebra and hence can be interpretedas the generally covariant conservative angularmomentum.
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