Singular supersymmetric σ-models

Abstract

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 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. a

Effective actions near singularities

“…After completion of this paper, we became aware of related work in refs. [42,43], where similar phenomena in N = 1 supersymmetric non-linear sigma models are analyzed. We thank Jan-Willem van Holten for drawing our attention to these references.…”

Gauged supersymmetric σ-models and soft breaking terms

“…In previous work [3], it was found that the Kähler metric develops zero-modes in the vacuum: the metric for the Goldstone bosons and their fermionic partners vanishes. In [4] we have shown for a simple model that soft supersymmetry breaking terms can shift the minimum away from the singular point and provide a consistent mass-spectrum. In this letter, I introduce soft supersymmetry breaking terms in more realistic models based on the coset spaces E 6 /[SO (10)×U (1)] and SO(10)/U (5).…”