On the ultraviolet behaviour of softly broken N=1, D=2 supersymmetric non-linear σ-models

Explicit soft breaking terms of N=1, D=2 supersymmetry are added to the N=1 non-linear σ-model action. Supergraph methods are employed to analyse the structure of divergences induced by the breaking terms. Genuine three-loop divergences appear, that are proportional to a dimensionless breaking coupling parameter. They survive the Ricci-flatness condition and modify the three-loop function of the exact model, which is known to be vanishing. (orig.)