TL;DR
This paper presents a five-dimensional gauge theory model that localizes matter and gauge fields on branes, unifies gauge and Higgs fields, and offers a geometric approach to the fermion hierarchy problem, predicting new particles.
Contribution
It introduces a novel 5-D SU(3) gauge theory framework that reproduces the electroweak model on a brane with unified gauge and Higgs fields and predicts new particles.
Findings
Successful localization of fermions and gauge fields on branes
Unification of gauge and Higgs fields at 5-D level
Prediction of a zero hypercharge neutrino and a new massive vector particle
Abstract
From the quantum field theory point of view, matter and gauge fields are generally expected to be localised around branes or topological defects occurring in extra dimensions. Here I discuss a simple scenario where, by starting with a five dimensional SU(3) gauge theory, we end up with several 4-D parallel branes with localised "chiral" fermions and gauge fields to them. I will show that it is possible to reproduce the electroweak model confined to a single brane, allowing a simple and geometrical approach to the fermion hierarchy problem. Some nice results of this construction are: Gauge and Higgs fields are unified at the 5-D level; and new particles are predicted: a left-handed neutrino of zero hypercharge, and a massive vector field coupling together the new neutrino to other left-handed leptons.
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