COMPLETE FACTORIZATION OF EQUATIONS OF MOTION IN SUPERSYMMETRIC FIELD THEORIES

We investigate bosonic sectors of supersymmetric field theories. We consider super-potentials described by one and two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomolnyi equations, so that all the topological defects are of the Bogomolnyi- Prasad-Sommerfield type. We examine explicit models, that engender the ZN symmetry, and we identify all the topological sectors, illustrating their integrability.