GEOMETRY OF N = 2 LANDAU-GINZBURG FAMILIES

The differential geometry of a family of N = 2 Landau-Ginzburg models is studied in coupling constant space. If the superpotential is quasihomogeneous, the geometry turns out to be simply related to the homogeneous bundles over a certain coset space. This allows us in some special case, to compute OPE coefficients by Lie-group methods. This geometrical approach clarifies the underlying reasons for the equality of the chiral OPE coefficients for a LG model and for the sigma-model based on the (weighted) projective hypersurface V(X) = 0. Some "miraculous" aspect of the chiral Green functions is pointed out.