Geodesic
$N=4$ Multiplets in $N=3$ Harmonic Superspace
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 269-283 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that the $N=3$ harmonic superfield equations of motion are invariant with respect to the fourth supersymmetry. We also use the $SU(3)$ harmonics to analyze a more flexible form of superfield constraints for the Abelian $N=4$ vector multiplet and its $N=3$ decomposition. An unusual alternative representation of the $N=4$ supersymmetry is realized on infinite multiplets of analytic superfields in the $N=3$ harmonic superspace. An integer-valued parameter playing the role of a discrete coordinate parameterizes $U(1)$ charges of superfields in these multiplets. Each superfield term of the $N=3$ Yang–Mills action has an infinite-dimensional $N=4$ generalization. The gauge group of this model contains an infinite number of superfield parameters.
Keywords: extended supersymmetry, superspace, gauge superfields. 
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     author = {B. M. Zupnik},
     title = {$N=4$ {Multiplets} in $N=3$ {Harmonic} {Superspace}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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B. M. Zupnik. $N=4$ Multiplets in $N=3$ Harmonic Superspace. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 2, pp. 269-283. http://geodesic.mathdoc.fr/item/TMF_2004_140_2_a5/

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