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Supersymmetric Chern-Simons vortex systems and fermion zero modes.

Fermion zero modes around a general self‐dual multi‐vortex background in N=1 and N=2 supersymmetric Maxwell‐Chern‐Simons Higgs systems are analyzed. In the model with an N=2 extended supersymmetry, a simple connection is established between all independent fermion zero modes and corresponding bosonic zero modes. We provide a supersymmetry‐based explanation of the result.