Fermions in the vortex background on a sphere

Abstract

In 5+1 dimensions, we construct a vortex-like solution on a two-dimensional sphere. We study fermionic zero modes in the background of this solution and relate them to the replication of fermion families in the Standard Model. In particular, using a compactified space removes the need for the difficult localisation of gauge fields, while the present procedure (rather than naive compactification on a disk) also removes spurious fermionic modes.

arXiv comment13 pages, 1 eps figure, JHEP3 style required, references added

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Cited by in corpus (19)

• Flowing to four dimensions
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• See-saw neutrino masses and large mixing angles in the vortex background on a sphere
• Flavour violation with a single generation
• Searching for family-number conserving neutral gauge bosons from extra dimensions
• Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions
• Dynamical generation of fermion mass hierarchy in an extra dimension
• Localisation of Fermions to brane: Codimension $d\ge 2$
• Higgs boson with a single generation in the bulk
• 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
• Dynamics of critical vortices on the torus and on the plane
• Dark matter and localised fermions from spherical orbifolds?
• Heavy-meson physics and flavour violation with a single generation
• Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere
• Flavour changing $Z^{\prime }$ signals in a 6D inspired model
• Towards Z_2-protected gauge--Higgs unification
• Fermionic zero modes in the vortex field in arbitrary dimensions and index of Dirac operator with Majorana-like interaction