Supersymmetry breaking in 5-dimensional space–time with S1/Z2 compactification

We consider supersymmetric models in 5-dimensional space–time compactified on S1/Z2 orbifold, where N=2 supersymmetry is explicitly broken down to N=1 by the orbifold projection. We find that the residual N=1 supersymmetry is broken spontaneously by a stable classical wall-like field configurations which can appear even in the simple models discussed. We also consider some simple models of bulk fields interacting with those localized on the 4-dimensional boundary wall where N=1 supersymmetry can survive in a rather non-trivial way.