Complete factorization of equations of motion in supersymmetric field theories Original Research Article

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