A new mechanism of spontaneous SUSY breaking

We propose a new mechanism of spontaneous supersymmetry breaking. The exist ence of extra dimensions with nontrivial topology plays an important role. We investigate new features resulting from this mechanism in two simple sup ersymmetric Z(2) and U(1) models. One noteworthy feature is that there exis ts a phase in which the translational invariance for the compactified direc tions is broken spontaneously, accompanying the breakdown of supersymmetry. The mass spectrum of the models appearing in reduced dimensions is full of variety, reflecting the highly nontrivial vacuum structure of the models. Nambu-Goldstone bosons (fermions) associated with the breakdown of symmetri es are found in the mass spectrum. The mechanism we propose also yields qui te different vacuum structures for models with different global symmetries.