Localization of light particles on Fermion induced domain Walls

We offer a possible explanation for the appearance of light composite fermions and Higgs bosons on the four-dimensional domain wall.The pattern of light particle trapping is accounted for by a strong self-interaction of five-dimensional pre-quarks. We calculate the low-energy effective action which manifests the invariance under the so called $\tau$-symmetry. Then we find a set of vacuum solutions which break that symmetry and the five-dimensional translational invariance. The induced relations between low-energy couplings for Yukawa and scalar field interactions allow to make certain predictions for light particle masses and couplings themselves, which might provide a signature of the higher dimensional origin of particle physics at future experiments.