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

Abstract

Following a suggestion made by Tseytlin, we investigate the case when one replaces the transverse part of the bosonic action by an $n=2$ supersymmetric sigma-model with a symmetric homogeneous Kählerian target space. As conjectured by Tseytlin, the metric is shown to be exactly known since the beta function is known to reduce to its one-loop value.

12 pages, CPT-93/P.2879,CERN-TH-6828/93, plain TeX