# Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

## TL;DR

This paper develops formulas for localizing gauge bosons on topological solitons in higher dimensions, revealing how their mass depends on the stabilizer's charge and illustrating the mechanisms with six-dimensional examples.

## Contribution

It introduces a comprehensive framework for gauge boson localization on solitons using a field-dependent kinetic term, including the effects of the Higgs mechanism in higher dimensions.

## Key findings

- Massless gauge bosons localize when the stabilizer is neutral.
- Charged stabilizers induce massive gauge bosons due to the Higgs mechanism.
- Concrete six-dimensional examples demonstrate the localization and mass generation mechanisms.

## Abstract

We provide complete and self-contained formulas about localization of massless/massive Abelian gauge fields on topological solitons in generic $D$ dimensions via a field dependent gauge kinetic term. The localization takes place when a stabilizer (a scalar field) is condensed in the topological soliton. We show that the localized gauge bosons are massless when the stabilizer is neutral. On the other hand, they become massive for the charged stabilizer as a consequence of interplay between the localization mechanism and the Higgs mechanism. For concreteness, we give two examples in six dimensions. The one is domain wall intersections and the other is an axially symmetric soliton background.