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Geometry and beta-functions for N=2 matter models in two dimensions

arXiv:hep-th/9803230 · doi:10.1016/S0550-3213(98)00507-0

Abstract

We study renormalizable nonlinear sigma-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 beta-function allows to identify a class of models which satisfy this requirement and possess N=4 supersymmetry.

latex file, 20 pages, no figures