Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-29
Theor.Math.Phys. 140 (2004) 1121-1134; Teor.Mat.Fiz. 140 (2004) 269-283
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 16 pages
Scientific paper
10.1023/B:TAMP.0000036542.47378.
It is shown that the N=3 harmonic-superfield equations of motion are invariant with respect to the 4-th supersymmetry. The SU(3) harmonics are also used to analyze a more flexible form of superfield constraints for the Abelian N=4 vector multiplet and its N=3 decomposition. An alternative unusual representation of the N=4 supersymmetry is realized on infinite multiplets of analytic superfields in the N=3 harmonic superspace. U(1) charges of superfields in these multiplets are parametrized by an integer- valued parameter which plays the role of the discrete coordinate. Each superfield term of the N=3 Yang-Mills action has the infinite-dimensional N=4 generalization. The gauge group of this model contains an infinite number of superfield parameters.
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