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The mirror map in the D=3, N=4 supersymmetry connects the left and right SU(2) automorphism groups and also the superfield representations of the corresponding N=4 supermultiplets.
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A. Galperin, E. Ivanov, V. Ogievetsky, E. Sokatchev, Harmonic superspace, Cambridge University Press, Cambridge, 2001
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J. Bagger, A. Galperin, A new Goldstone multiplet for partially broken supersymmetry, Phys. Rev. D 55
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D. Gaiotto, E. Witten, Janus configurations, Chern-Simons coupling and the θ \theta -angle in N = 4 N=4 super Yang-Mills theory, arXiv: 0804.2907 [hep-th]
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2009
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I.L. Buchbinder, E.A. Ivanov, O. Lechtenfeld, N.G. Pletnev, I.B. Samsonov, B.M. Zupnik, ABJM models in N=3 harmonic superspace, J. High. Ener. Phys. 0903
2009
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