Fermions in the vortex background on a sphere

Details Fermions in the vortex background on a sphere Fermions in the vortex background on a sphere

2003-04-11

arxiv.org/abs/hep-ph/0304117v2

JHEP0306:009,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 eps figure, JHEP3 style required, references added

Scientific paper

10.1088/1126-6708/2003/06/009

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.

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