Higgs effect in consistent Kaluza-Klein models with branes

TL;DR

This paper explores models where the Higgs mechanism arises from 3-brane fluctuations in extra dimensions, using 6D supergravity solutions, and examines vortex solutions in the context of higher-dimensional theories.

Contribution

It presents consistent Kaluza-Klein models with branes producing the Higgs effect and analyzes vortex solutions with higher-dimensional resolution of singularities.

Findings

Higgs effect can be modeled via brane fluctuations in extra dimensions

Low-energy limit matches gauge-invariant supercurrent formulation

Vortices become regular due to higher-dimensional effects

Abstract

We continue consideration of models where the Higgs effect is produced by the presence of 3-brane fluctuating in compact extra dimensions. The consistent examples of such models may be obtained from previously known solutions of 6D supergravity. The low-energy limit for these models coincides with a version of Higgs model written in terms of gauge-invariant supercurrent variables. We also elaborate on vortices in the Abelian version of the theory and show how vortices that are singular from the 4D point of view become allowed due to higher-dimensional resolution of singularity.