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Three-dimensional N=4 supersymmetry in harmonic N=3 superspace

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Abstract

We consider the map of three-dimensional N=4 superfields to the N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for describing N=4 superconformal couplings of Abelian gauge superfields to hypermultiplets. We investigate the N=4 invariance in the non-Abelian N=3 Yang-Mills theory.

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  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    B. M. Zupnik

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Correspondence to B. M. Zupnik.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 1, pp. 97–118, October, 2010.

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Zupnik, B.M. Three-dimensional N=4 supersymmetry in harmonic N=3 superspace. Theor Math Phys 165, 1315–1334 (2010). https://doi.org/10.1007/s11232-010-0111-6

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