We investigate the renormalization of N=2 SUSY L-G models with central charge $c=3p/(2+p)$ perturbed by an almost marginal chiral operator. We calculate the renormalization of the chiral fields up to $gg{ ^*}$ order and of nonchiral fields up to $g(g^{ *})$ order. We propose a formulation of the nonrenormalization theorem and show that it holds in the lowest nontrivial order. It turns out that, in this approximation, the chiral fields can not get renormalized $\Phi^{ k}=\Phi^{ k}_{ 0}$. The $\beta$ function then remains unchanged $\beta=\epsilon gr$.
Categories: hep-th