Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branes

TL;DR

This paper explores a six-dimensional brane world model with inflating branes, focusing on fermion and gauge field localization, and connects the model's parameters to inflation phases and electric charge quantization.

Contribution

It introduces a new localization mechanism for fermions and gauge fields in an inflating baby-Skyrme brane model, linking cosmological inflation and charge quantization.

Findings

Fermions can be localized on the brane via the proposed mechanism.

Gauge fields are localized only at specific electromagnetic couplings.

The model can represent different inflation phases through parameter choices.

Abstract

We consider the six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We focus on the topological number three solutions and discuss the localization mechanism of the fermions on the above 3-branes. We discuss interpretation of the model in term of quark third generation mass and in terms of the inflation history. We argue that it is possible to track the phases of inflation in our model by suitably choosing the parameters. We further discuss the localization properties of gauge fields on the brane and argue that this is achieved only for specific values of the electromagnetic coupling, providing a quantization to the electric charge.