Singular supersymmetric sigma models

Details Singular supersymmetric sigma models Singular supersymmetric sigma models

2003-02-17

arxiv.org/abs/hep-th/0302135v1

Nucl.Phys.B663:60-78,2003

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures

Scientific paper

10.1016/S0550-3213(03)00386-9

Supersymmetric non-linear sigma-models are described by a field dependent Kaehler 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 CP^1 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.

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