Soft Supersymmetry Breaking from Coset Space Dimensional Reduction

Abstract

The Coset Space Dimensional Reduction scheme is briefly reviewed. Then a ten-dimensional supersymmetric $E_8$ gauge theory is reduced over symmetric and non-symmetric six-dimensional coset spaces. In general a four-dimensional non-supersymmetric gauge theory is obtained in case the used coset space is symmetric, while a softly broken supersymmetric gauge theory is obtained if the used coset space is non-symmetric. In the process of exhibiting the above properties we also present two attractive models, worth exploiting further, which lead to interesting GUTs with three families in four dimensions.

16 pages, Contribution to SUSY01 Dubna Russia, CORFU2001 Corfu Greece, SQS01 Karpacz Poland and I Summer School in Modern Mathematical Physics Sokobanja Yugoslavia