SU(2) Charges as Angular-momentum in N=1 Self-dual Supergravity

Details SU(2) Charges as Angular-momentum in N=1 Self-dual Supergravity SU(2) Charges as Angular-momentum in N=1 Self-dual Supergravity

1999-02-09

arxiv.org/abs/hep-th/9902063v1

Int.J.Theor.Phys. 38 (1999) 1415-1422

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, no figures, to appear in Int. J. Theor. Phys

Scientific paper

The N=1 self-dual supergravity has SL(2.C) symmetry. This symmetry results in SU(2) charges as the angular-momentum. As in the non-supersymmetric self-dual gravity, the currents are also of their potentials and are therefore identically conserved. The charges are generally invariant and gauge covariant under local SU(2) transforms approaching to be rigid at spatial infinity. The Poisson brackets constitute su(2) algebra and hence can be interpreted as the generally covariant conservative angular-momentum.

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