ar X iv : h ep - t h / 93 07 02 9 v 1 6 J ul 1 99 3 N = 2 super W algebra in half - twisted Landau - Ginzburg model

We investigate N = 2 extended superconformal symmetry, using the half-twisted Landau-Ginzburg models. The first example is the D2n+2 -type minimal model. It has been conjectured that this model has a spin n super W current. We checked this by the direct computations of the BRS cohomology class up to n = 4. We observe for n ≤ 3 the super W currents generate the ring isomorphic to the chiral ring of the model with respect to the classical product. We thus conjecture that this isomorphism holds for any n. The next example is CPn coset model. In this case we find a sort of Miura transformation which gives the simple formula for the super W currents of spin {1,2,...,n} in terms of the chiral superfields. Explicit form of the super W currents and their Poisson brackets are obtained for CP2, CP3 case. We also conjecture that as long as the classical product is concerned, these super W currents generate the ring isomorphic to the chiral ring of the model and this is checked for CP2 model.