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Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED
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We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N=2 gauge superfield. Using these propagators we compute two-loop effective actions in the N=2 and N=4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N=2 SQED.
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Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace
The Maxwell-Chern-Simons theory and two massive self-dual models are shown to be dual in N=2, d=3 superspace, at both classical and generating-functional levels, including matter couplings.
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