off-shell supersymmetries. (English) Zbl 1175.81119
Summary: We computed the actions for the one-dimensional (1D) -models with respect to the two inequivalent multiplets. Four supersymmetry generators are manifest, while the constraint originated by imposing the fifth supersymmetry automatically induces a full off-shell invariance. The resulting action coincides in the two cases and corresponds to a conformally flat 2D target satisfying a special geometry of rigid type. To obtain these results we developed a computational method (for Maple 11) which does not require the notion of superfields and is instead based on the nowadays available list of the inequivalent representations of the 1D -extended supersymmetry. Its application to systematically analyze the -models off-shell invariant actions for the remaining () multiplets, as well as for the representations, only requires more cumbersome computations.
|81Q60||Supersymmetry and quantum mechanics|
|81R12||Relations of groups and algebras in quantum theory with integrable systems|