Bosons-parafermions Wess-Zumino model

Abstract

A Wess-Zumino model in terms of bosons and parafermions of order p = 2 is investigated.We show that the parasupercharges associated to the parasupersymmetric transformations satisfy the p = 2 trilinear relations. The closure of the transformations algebra is established with a trilinear product rule for the fermionic elements. Finally, we verify that these parasupercharges are really the generators of the parasupersymmetric transformations