Fermionic zero modes in self-dual vortex background

TL;DR

This paper investigates fermionic zero modes in a 6D model with a vortex background, revealing how vortex-induced phase shifts, akin to the Aharonov-Bohm effect, influence fermion localization.

Contribution

It provides a unified description of self-dual vortices in a 2D extra space and analyzes their impact on fermionic zero modes in higher-dimensional models.

Findings

Vortex background induces a phase shift in fermionic zero modes.

Fermion localization is affected by vortex-induced Aharonov-Bohm phase.

Unified description of topological and non-topological vortices in Abelian Higgs model.

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.