N=4, d=3 nonlinear electrodynamics

Details N=4, d=3 nonlinear electrodynamics N=4, d=3 nonlinear electrodynamics

2006-06-07

arxiv.org/abs/hep-th/0606052v1

Phys.Rev.D74:065016,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.74.065016

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-K\"ahler sigma-model in the bosonic sector.

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