Superalgebra and Conservative Quantities in N=1 Self-dual Supergravity

Details Superalgebra and Conservative Quantities in N=1 Self-dual Supergravity Superalgebra and Conservative Quantities in N=1 Self-dual Supergravity

1999-02-11

arxiv.org/abs/hep-th/9902082v1

Class.Quant.Grav. 17 (2000) 2103-2116

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex, no figures

Scientific paper

10.1088/0264-9381/17/10/305

The N=1 self-dual supergravity has SL(2,C) and the left-handed 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 energy-momentum we obtained previously constituting the 3-Poincare algebra in the Ashtekar's complex gravity, the SU(2) charges, the supercharges and the energy-momentum here also restore the super-Poincare algebra, and this serves to support the reasonableness of their interpretations.

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