On D = 2(1/3,1/3) supersymmetric theories. II

Abstract

Denoting by D = 2(1/3,1/3) superalgebra the off critical symmetry of the perturbation of the c = 6/7 conformal theory, we build a new superspace solution of the subalgebra generated by spin charge operators extending the usual (1/2,1/2) supersymmetry generated by spin charges (Saidi et al). This solution is based on the use of two Grassmann variables instead of one parafermionic variable satisfying the cubic nilpotency condition . Known results on the c = 6/7 tricritical Potts model are recovered as special features. The relation with N = 2 Landau - Ginzburg models is also discussed.