  In this work we obtain topological and dual theories on brane-worlds in
several dimensions. Our brane is a solitonic-like hypersurface embedded in a
space-time with a specific dimensionality and it appears due to the breaking of
a Peccei-Quinn-like symmetry. In the first part of this work, the obtained
topological theories are related to a generalization of the axion-foton
anomalous interaction in D=4 (in the Abelian case) and to the Wess-Zumino term
(in the non-Abelian case). In the second part, we construct dual models on the
brane through a mechanism of explicit Lorentz symmetry breaking. The gauge
symmetries of such models are discussed within the Stuckelberg formalism.
