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

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

2005-08-14

arxiv.org/abs/hep-th/0508096v4

Commun. Theor. Phys. 48 (2007) 675-679

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, published version

Scientific paper

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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