Singular supersymmetric σ-models Original Research Article

Supersymmetric non-linear σ-models are described by a field dependent Kähler metric determining the kinetic terms. In general it is not guaranteed that this metric is always invertible. Our aim is to investigate the symmetry structure of supersymmetric models in four-dimensional space–time in which metric singularities occur. For this purpose we study a simple anomaly-free extension of the supersymmetric CP1 model from a classical point of view. We show that the metric singularities can be regularized by the addition of a soft supersymmetry-breaking mass parameter.