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Fermions in the vortex background on a sphere

par Frère, Jean-Marie ;Libanov, M. V.;Nugaev, E. Ya.;Troitsky, Sergey V.
Référence Journal of High Energy Physics, 0306, page (009)
Publication Publié, 2003

Article révisé par les pairs

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Résumé :

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.