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

Silvia Penati, Andrea Refolli, Alexander Sevrin, Daniela Zanon

hep-tharXiv:hep-th/9803230

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.

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