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
Penati, S., Refolli, A., Sevrin, A., Zanon, D. (1998). Geometry and beta functions for N = 2 matter models in two dimensions. NUCLEAR PHYSICS. B, 533(1-3), 593-610 [10.1016/S0550-3213(98)00507-0].
Geometry and beta functions for N = 2 matter models in two dimensions
Penati, S;
1998
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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