Geometry and beta functions for N = 2 matter models in two dimensions Original Research Article

We study renormalizable non-linear α-models in two dimensions with N = 2 supersymmetry described in superspace in terms of chiral and complex linear superfields. The geometrical structure of the underlying manifold is investigated and the one-loop divergent contribution to the effective action is computed. The condition of vanishing β-function allows to identify a class of models which satisfy this requirement and possess N = 4 supersymmetry.