Wess-Zumino currents on S3 x R spacetime

Based on the group theory powerful techniques, as a rigorous tool for treating fields on S-3 x R spacetime, which is the manifold of SU(2), we put the supersymmetric Wess-Zumino model on the S-3 x R background. After deriving the system of Klein-Gordon-Dirac-type equations, for the scalar and Majorana, fields, we get in the corresponding current, besides the supercurrent, an additional term due to the coupling of spin to gravity. Finally, considerations on the solutions of the fields equations are made, pointing out significant differences from the Minkowskian case.