Superalgebra and conservative quantities in N = 1 complex supergravity

N = 1 self-dual supergravity has SL(2,) symmetry and left-handed and right-handed local supersymmetries. These symmetries result in SU(2) charges in the form of angular momentum and supercharges. The model also possesses invariance under 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 earlier constitute 3-Poincaré algebra in Ashtekar complex gravity, the SU(2) charges, supercharges and energy-momentum in simple supergravity also restore the super-Poincaré algebra, and this helps in making their interpretations reasonable.