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arXiv · hep-ph/0304117

Fermions in the vortex background on a sphere

J. -M. Frere·M. V. Libanov·E. Ya. Nugaev·S. V. Troitsky
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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.

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J. -M. Frere, M. V. Libanov, E. Ya. Nugaev, S. V. Troitsky. 2003-04-22. Fermions in the vortex background on a sphere. https://doi.org/10.1088/1126-6708%2F2003%2F06%2F009

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