Abstract
We study $\mathrm{SU}(n)$ $N=1$ supersymmetric Chern-Simons systems in 2+1 dimensions with and without a Maxwell term. Fixing the potential in a specific way, the supersymmetry is extended to $N=2$ which leads to a system with nontopological soliton solutions. The central charge of the extended supersymmetry is calculated and self-dual equations for the background fields are derived.
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