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arXiv · hep-th/9902082

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

Sze-Shiang Feng·Bin Wang
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Abstract

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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Sze-Shiang Feng, Bin Wang. 1999-02-11. Superalgebra and Conservative Quantities in N=1 Self-dual Supergravity. https://doi.org/10.1088/0264-9381%2F17%2F10%2F305

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