N=4, d=3 nonlinear electrodynamics

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.

8 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w

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Cited by in corpus (1)

• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics