Modified supersymmetries

An attempt is made to modify super-symmetry groups and the algebra of the underlying elements, so that the mappings involved in the realizations are those of an ordinary manifold on itself. The resulting group possesses representations that transform constant tensors and spinors among each other. Applications to fiber bundles lead to fields over general space-time manifolds whose structure group is the modified super-symmetry group.Supported by National Science Foundation Grant No. MPS74-15246.