Delsate, Terence and Sawado, Nobuyuki (2012), "Localizing modes of massive fermions and a U(1) gauge field in the
inflating baby-Skyrmion branes", PHYSICAL REVIEW D, 85, 6.
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 extra dimensions. 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 the model can describe various epochs of the early Universe 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.