Geodesic
Three-dimensional $\mathcal{N}{=}4$ supersymmetry in harmonic $\mathcal{N}{=}3$ superspace
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 97-118

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We consider the map of three-dimensional $\mathcal N=4$ superfields to the $\mathcal N=3$ harmonic superspace. The left and right representations of the $\mathcal N=4$ superconformal group are constructed on $\mathcal N=3$ analytic superfields. These representations are convenient for describing $\mathcal N=4$ superconformal couplings of Abelian gauge superfields to hypermultiplets. We investigate the $\mathcal N=4$ invariance in the non-Abelian $\mathcal N=3$ Yang–Mills theory.
Keywords: harmonic superspace, extended supersymmetry, superconformal symmetry. 
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     author = {B. M. Zupnik},
     title = {Three-dimensional $\mathcal{N}{=}4$ supersymmetry in harmonic $\mathcal{N}{=}3$ superspace},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a5/}
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B. M. Zupnik. Three-dimensional $\mathcal{N}{=}4$ supersymmetry in harmonic $\mathcal{N}{=}3$ superspace. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 97-118. http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a5/