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Supersymmetric extension of Hopf maps: σ-models and the fibration

2010
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Nuclear Physics B
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We discuss four off-shell N=4 D=1 supersymmetry transformations, their associated one-dimensional sigma-models and their mutual relations. They are given by I) the (4,4)_lin linear supermultiplet (supersymmetric extension of R^4), II) the (3,4,1)_lin linear supermultiplet (supersymmetric extension of R^3), III) the (3,4,1)_nl non-linear supermultiplet living on S^3 and IV) the (2,4,2)_nl non-linear supermultiplet living on S^2. The I -> II map is the supersymmetric extension of the R^4 -> R^3

doi:10.1016/j.nuclphysb.2010.03.017
fatcat:mtiypvz4ondnbmhtmrwnx7wibu