Fermions in the vortex background on a sphere
High Energy Physics - Phenomenology
2009-11-10 v2
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.
Cite
@article{arxiv.hep-ph/0304117,
title = {Fermions in the vortex background on a sphere},
author = {J. -M. Frere and M. V. Libanov and E. Ya. Nugaev and S. V. Troitsky},
journal= {arXiv preprint arXiv:hep-ph/0304117},
year = {2009}
}
Comments
13 pages, 1 eps figure, JHEP3 style required, references added