Three fermionic generations on a topological defect in extra dimensions

Abstract

We suggest a mechanism explaining the origin of three generations of the Standard Model fermions from one generation in a higher-dimensional theory. Four-dimensional fermions appear as zero modes trapped in the core of a topological defect with topological number three. We discuss hierarchical pattern of masses and mixings which arises in these models.

19 pages, no figures; v.2: references added, main text unchanged

References in corpus (6)

• A Large Mass Hierarchy from a Small Extra Dimension
• Spacetime as a membrane in higher dimensions
• Solving the Hierarchy Problem with Noncompact Extra Dimensions
• Nonsingular global string compactifications
• Families as Neighbors in Extra Dimension
• Supersymmetry Breaking, Fermion Masses and a Small Extra Dimension

Cited by in corpus (59)

• Large and infinite extra dimensions
• Flavour physics of leptons and dipole moments
• Warped compactification on Abelian vortex in six dimensions
• Neutrinos in Warped Extra Dimensions
• Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
• Unsolved problems in particle physics
• Fermion masses and quantum numbers from extra dimensions
• Gauge field localization on Abelian vortices in six dimensions
• Fermion Generations, Masses and Mixing Angles from Extra Dimensions
• QED from six-dimensional vortex and gauge anomalies
• Fermionic zero modes in self-dual vortex background
• Radion in Multibrane World
• Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
• Zero modes of six-dimensional Abelian vortices
• Fermions in the vortex background on a sphere
• Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branes
• Fermionic zero modes in gauge and gravity backgrounds On $T^2$
• Neutrino Mass Patterns within the See-saw Model from Multi-localization along Extra Dimensions
• $CP$ phase from twisted Higgs vacuum expectation value in extra dimension
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Fermions in gravity and gauge backgrounds on a brane world
• Towards the realistic fermion masses with a single family in extra dimensions
• Flavour violation with a single generation
• Realization of lepton masses and mixing angles from point interactions in an extra dimension
• See-saw neutrino masses and large mixing angles in the vortex background on a sphere
• Coupled fermion-kink system in Jackiw-Rebbi model
• Searching for family-number conserving neutral gauge bosons from extra dimensions
• Testing Realistic Quark Mass Matrices in the Custodial Randall-Sundrum Model with Flavor Changing Top Decays
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Spontaneous breaking of the C, P, and rotational symmetries by topological defects in two extra dimensions
• On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall
• Six-dimensional Abelian vortices with quadratic curvature self-interactions
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Exact Solutions of a Fermion-Soliton System in Two Dimensions
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Higgs boson with a single generation in the bulk
• A Model of Fermion Masses and Mixings Triggered by Family Problem in Warped Extra Dimensions
• Is it still worth searching for lepton flavor violation in rare kaon decays?
• Localisation of Fermions to brane: Codimension $d\ge 2$
• Neutrino hierarchy and fermion spectrum from a single family in six dimensions: realistic predictions
• Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
• Localized non-Abelian gauge fields in non-compact extra-dimensions
• Supersymmetry in 6d Dirac Action
• Dynamics of critical vortices on the torus and on the plane
• Active Dirac Neutrinos via $SU(2{)}_L$ Doublets in 5d
• Successful Yukawa structures in Warped Extra Dimensions
• 5d Dirac fermion on quantum graph
• Heavy-meson physics and flavour violation with a single generation
• More on divergences in brane world models
• Fermionic zero modes in self-dual vortex background on a torus
• Flavour changing $Z^{\prime }$ signals in a 6D inspired model
• Three-generation solutions of equations of motion in heterotic supergravity
• Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere
• Gravity and Large Extra Dimensions
• Flavour from Fractal Mass Chains
• Zero Modes of Matter Fields on Scalar Flat Thick Branes
• Fermion Masses from Six Dimensions and Implications for Majorana Neutrinos
• Fermionic zero modes in the vortex field in arbitrary dimensions and index of Dirac operator with Majorana-like interaction