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Fermionic zero modes in self-dual vortex background

Yong-Qiang Wang·Tie-Yan Si·Yu-Xiao Liu·Yi-Shi Duan
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Abstract

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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Yong-Qiang Wang, Tie-Yan Si, Yu-Xiao Liu, Yi-Shi Duan. 2005-08-16. Fermionic zero modes in self-dual vortex background. https://doi.org/10.1142/s0217732305018037

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