On non-minimal N=4 supermultiplets in 1D and their associated sigma-models

Details On non-minimal N=4 supermultiplets in 1D and their associated sigma-models On non-minimal N=4 supermultiplets in 1D and their associated sigma-models

2010-06-24

arxiv.org/abs/1006.4678v1

J.Math.Phys.52:013514,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 6 figures

Scientific paper

10.1063/1.3533761

We construct the non-minimal linear representations of the N=4 Extended Supersymmetry in one-dimension. They act on 8 bosonic and 8 fermionic fields. Inequivalent representations are specified by the mass-dimension of the fields and the connectivity of the associated graphs. The oxidation to minimal N=5 linear representations is given. Two types of N=4 sigma-models based on non-minimal representations are obtained: the resulting off-shell actions are either manifestly invariant or depend on a constrained prepotential. The connectivity properties of the graphs play a decisive role in discriminating inequivalent actions. These results find application in partial breaking of supersymmetric theories.

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