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On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions
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We study the exact equivalence between the self-dual model minimally coupled with a Dirac field and the Maxwell-Chern-Simons model with non-minimal magnetic coupling to fermions. We show that the fermion sectors of the models are equivalent only if a Thirring like interaction is included. Using functional methods we verify that, up to renormalizations, the equivalence persists at the quantum level.
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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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