Fermionic zero modes in self-dual vortex background

Details Fermionic zero modes in self-dual vortex background Fermionic zero modes in self-dual vortex background

2005-08-16

arxiv.org/abs/hep-th/0508111v1

Mod.Phys.Lett. A20 (2005) 3045-3053

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, to appear in MPLA

Scientific paper

We study fermionic zero modes in the background of self-dual vortex on a two-dimensional non-compact extra space in 5+1 dimensions. In the Abelian Higgs model, we present an unified description of the topological and non-topological self-dual vortex on the extra two dimensions. Based on it, we study localization of bulk fermions on a brane with inclusion of Yang-Mills and gravity backgrounds in six dimensions. Through two simple cases, it is shown that the vortex background contributes a phase shift to the fermionic zero mode, this phase is actually origin from the Aharonov-Bohm effect.

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