The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models

Abstract

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 $gg{}^{\ast }$ order and of nonchiral fields up to $g(g^{\ast })$ 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 ${\Phi }^k={\Phi }_0^k$. The $\beta$ function then remains unchanged $\beta =\epsilon gr$.

26 p. (the revised version)

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