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Three-dimensional N=4 superconformal superfield theories

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arxiv 0905.1179 v1 pith:BTOPROWT submitted 2009-05-08 hep-th

classification hep-th
keywords gaugeleftrightsuperconformalinteractionsmirrorsuperfieldabelian
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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. The mirror N=4 harmonic superspaces use the harmonics of two SU(2) groups and two types of the Grassmann analyticity. The irreducible left and right N=4 supermultiplets are defined in these harmonic superspaces. We analyze the N=4 superconformal interactions of the gauge and matter superfields and the spontaneous breakdown of the superconformal symmetry. The most interesting superconformal action possesses the mirror symmetry and contains two nonlinear terms of the abelian left and right gauge superfields, and also the mixing N=4 BF interaction which yields the topological masses of the gauge fields and the nontrivial interaction of the scalar and pseudoscalar fields. The minimal interactions of the left and right N=4 hypermultiplets can be included to this abelian gauge theory. We consider also the nonlinear N=4 gauge superfield interactions.

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  1. On three-dimensional ${\cal N}=4$ supersymmetry: maximally supersymmetric backgrounds and massive deformations

    hep-th 2025-04 conditional novelty 7.0 of 10

    The paper classifies maximally supersymmetric 3D N=4 backgrounds and constructs massive deformations of N=4 theories on deformed Minkowski superspace, including a one-loop derivation of Chern-Simons terms.

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