Topological violation of supersymmetry

The mechanism of supersymmetry violation via a nontrivial spacetime topolgy is considered by the example of the supersymmetric Wess-Zumino model in the flat homogeneous Clifford-Klein spacetimes with topologies Msub(q)=(S1)sup(q) x Rsup(4-q), q=1,2,3. The nontrivial spacetime topology leads to a number of supersymmetry violation possibilities. The described mechanism may be interesting for building cosmological scenarios. (orig.)