Generalized axion-photon couplings and dual descriptions on brane-worlds

TL;DR

This paper explores topological and dual theories on brane-worlds, generalizing axion-photon interactions and constructing dual models via Lorentz symmetry breaking, with implications for gauge symmetries and anomalies.

Contribution

It introduces generalized axion-photon couplings and dual descriptions on branes, extending known theories to higher dimensions and incorporating Lorentz symmetry breaking mechanisms.

Findings

Derived topological theories related to axion-photon interactions.

Constructed dual models with explicit Lorentz symmetry breaking.

Discussed gauge symmetries within the Stuckelberg formalism.

Abstract

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.