Instanton induced compactification and fermion chirality

The question of fermion chirality in Kaluza-Klein theories with coupling to Yang-Mills fields is discussed. The argument is illustrated in eight dimensions where an SU(2) Yang-Mills field assumes the one-instanton form on the internal space. This serves not only to trigger spontaneous compactification of the internal space but will ensure the emergence of nsub(L)-nsub(R)=2/3 t (t+1) (2t+1) zero models in an irreducible eight-spinor belonging to the (2t+1)-dimensional representation of SU(2). (orig.)