On the duality of three-dimensional superfield theories

Abstract

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual model interacting with a matter superfield, which turns out to be not the Maxwell-Chern-Simons theory coupled to matter, but a more complicated model, with a ``restricted'' gauge invariance. We stress the difficulties in dualizing the self-dual field coupled to matter into a theory with complete gauge invariance. After that, we show that the duality, achieved between these two models at the tree level, also holds up to the lowest order quantum corrections.

arXiv comment18 pages,2 figures, revtex4, v2: corrected references

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• On the duality in CPT-even Lorentz-breaking theories
• Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• The self-dual Lorentz violating model: quantization, scattering and dual equivalence
• Perturbative aspects of the supersymmetric three-dimensional massive QED
• Higher-derivative $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric Maxwell-Chern-Simons theories at one loop in superspace