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

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.

20 pages, 13 figures, to appear in PRD. Typo corrected, matches published version

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• Grand Unified Brane World Scenario
• Baby Skyrme model and fermionic zero modes
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Localization of the Standard Model via Higgs mechanism and a finite electroweak monopole from non-compact five dimensions
• Localized non-Abelian gauge fields in non-compact extra-dimensions
• Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
• Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions
• Non-axisymmetric baby-skyrmion branes
• A baby--Skyrme model with anisotropic DM interaction: Compact skyrmions revisited
• Fermion scattering on topological solitons in the nonlinear $O(3)$ $\sigma$-model
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model
• SM gauge fields localized on non-Abelian vortices in 6 dimensions