On a class of finite sigma-models and string vacua: a supersymmetric extension

Summary

Following a suggestion made by Tseytlin, we investigate the case when one replaces the transverse part of the bosonic action by ann=2 supersymmetric sigma-model with a symmetric homogeneous Kählerian target space. We demonstrate what has been conjectured by Tseytlin:i.e. the metric is shown to be exactly known since the exact expression of the beta-function reduces to its one-loop value.