Abstract
We propose a method for simultaneous localization of non-Abelian gauge fields and matter fields with minimal interaction on domain walls using U(N)c gauge theory with SU(N)L × SU(N)R × U(1)A flavor symmetry. Localization of non-Abelian fields is achieved using field-dependent gauge coupling. We find that effective Lagrangian up to second order of derivatives for low energy fluctuations resembles a chiral model from hadron physics with additional minimal interactions of pions with localized gauge fields together with nonlinear interactions of moduli fields. This result provides a step towards a realistic model building of brane-world scenario using topological solitons.
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