ON D=2(1 3,1 3) SUPERSYMMETRIC THEORIES .2.

Denoting by D = 2(1/3, 1/3) superalgebra the off critical symmetry of the phi(5/7,5/7) perturbation of the c = 6/7 conformal theory, we buil d a new superspace solution of the (1/3, 1/3)(-) subalgebra generated by spin +/-1/3 charge operators extending the usual (1/2, 1/2) supersy mmetry generated by spin +/-1/2 charges (Saidi et al). This solution i s based on the use of two Grassmann variables instead of one parafermi onic variable theta(+/-1/3) satisfying the cubic nilpotency condition (theta(+/-1/3))(3) = 0. Known results on the c = 6/7 tricritical Potts model are recovered as special features. The relation with N = 2 Land au-Ginzburg models is also discussed.