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arxiv: 1606.05625 · v1 · pith:RQBTZOYLnew · submitted 2016-06-17 · ✦ hep-th · cond-mat.mes-hall· cond-mat.supr-con

Fermion zero modes in a Z₂ vortex background

classification ✦ hep-th cond-mat.mes-hallcond-mat.supr-con
keywords zerobackgroundmodesvortexansatzechargeddeterminedirac
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In this paper we study the zero energy solutions of the Dirac equation in the background of a $Z_2$ vortex of a non-Abelian gauge model with three charged scalar fields. We determine the number of the fermionic zero modes giving their explicit form for two specific Ansatze.

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