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N=4, d=3 nonlinear electrodynamics

S. Bellucci·S. Krivonos·A. Shcherbakov
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Abstract

We construct a new off-shell $\mathcal{N}{=}4$, $d{=}3$ nonlinear vector supermultiplet. The irreducibility constraints for the superfields leave in this supermultiplet the same component content as in the ordinary linear vector supermultiplet. We present the most general sigma-model type action for the $\mathcal{N}{=}4$, $d{=}3$ electrodynamics with the nonlinear vector supermultiplet, which despite the nonlinearity of the supermultiplet may be written as an integral over a chiral superspace. This action share the most important properties with its linear counterpart. We also perform the dualization of the vector component into a scalar one and find the corresponding $\mathcal{N}{=}4$, $d{=}3$ supersymmetric action which describes new hyper-Kähler sigma-model in the bosonic sector.

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S. Bellucci, S. Krivonos, A. Shcherbakov. 2006-06-07. N=4, d=3 nonlinear electrodynamics. https://doi.org/10.1103/physrevd.74.065016

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