Abstract
Starting from $N=1$ scalar and vector supermultiplets in 2+1 dimensions, we construct superfields which constitute Lagrangians invariant under $N=2$ supersymmetries. We first recover the $N=2$ supersymmetric Abelian-Higgs model and then the $N=2$ pure super Yang-Mills model. The conditions for this elevation are consistent with previous results found by other authors.
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