Fermions in the vortex background on a sphere

2003/04/22 by J. -M. Frere, Jean-Marie Frère, M. V. Libanov +5 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Gauge (firearms) #Gauge theory #Quantum Chromodynamics and Particle Interactions #Space (punctuation) #Spurious relationship #Standard Model (mathematical formulation) #Topological Materials and Phenomena #Vortex #Zero (linguistics) #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/06/009

published as JHEP0306:009,2003 · 13 pages, 1 eps figure, JHEP3 style required, references added

arxiv created 2003/04/22 · openalex publication_date 2003/06/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Do we live inside a domain wall?
• Towards the realistic fermion masses with a single family in extra dimensions
• The Hierarchy Problem and New Dimensions at a Millimeter

Cited by

• Neutrino masses and mixing in models with large extra dimensions and localized fermions
• Localisation of Fermions to brane: Codimensiond 2