Abstract

--- - We computed the actions for the one-dimensional (1D) N = 5 sigma-models with respect to the two inequivalent (2,8,6) multiplets. Four supersymmetry generators are manifest, while the constraint originated by imposing the fifth supersymmetry automatically induces a full N = 8 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 now a days available list of the inequivalent representations of the 1D N-extended supersymmetry. Its application to systematically analyze the sigma-models off-shell invariant actions for the remaining N = 5,6,7,8 (k,8,8-k) multiplets, as well as for the N>8 representations, only requires more cumbersome computations.