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On the duality of three-dimensional superfield theories

A. F. Ferrari·M. Gomes·J. R. S. Nascimento·A. Yu. Petrov·A. J. da Silva
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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.

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A. F. Ferrari, M. Gomes, J. R. S. Nascimento, A. Yu. Petrov, A. J. da Silva. 2006-04-26. On the duality of three-dimensional superfield theories. https://doi.org/10.1103/physrevd.73.105010

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