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arXiv · 1006.4678

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

Marcelo Gonzales·Sadi Khodaee·Francesco Toppan
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Abstract

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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Marcelo Gonzales, Sadi Khodaee, Francesco Toppan. 2010-06-24. On non-minimal N=4 supermultiplets in 1D and their associated sigma-models. https://doi.org/10.1063/1.3533761

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