ar X iv : h ep - t h / 99 02 08 2 v 1 1 1 Fe b 19 99 Superalgebra and Conservative Quantities in N = 1 Complex Supergravity ∗ Sze
نویسندگان
چکیده
The N = 1 self-dual supergravity has SL(2,C) symmetry and the lefthanded and right-handed local supersymmetries. These symmetries result in SU(2) charges as the angular-momentum and the supercharges. The model possesses also the invariance under the general translation transforms and this invariance leads to the energy-momentum. All the definitions are generally covariant. As the SU(2) charges and the energymomentum we obtained previously constituting the 3-Poincare algebra in the Ashtekar’complex gravity, the SU(2) charges, the supercharges and the energy-momentum in simple supergravity also restore the super-Poincare algebra, and this serves to support the reasonableness of their interpretations. PACS number(s): 11.30.Cp,11.30.Pb,04.20.Me,04.65.+e.
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