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Fermionic zero modes in self-dual vortex background on a torus

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

We study fermionic zero modes in the self-dual vortex background on an extra two-dimensional Riemann surface in 5+1 dimensions. Using the generalized Abelian Higgs model, we obtain the inner topological structure of the self-dual vortex and establish the exact self-duality equation with topological term. Then we analyze the Dirac operator on an extra torus and the effective Lagrangian of four-dimensional fermions with the self-dual vortex background. Solving the Dirac equation, the fermionic zero modes on a torus with the self-dual vortex background in two simple cases are obtained.

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Yu-Xiao Liu, Yong-Qiang Wang, Yi-Shi Duan. 2007-09-29. Fermionic zero modes in self-dual vortex background on a torus. https://arxiv.org/abs/hep-th/0508096

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