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| Preview | Title | Author(s) | ???itemlist.dc.contributor.author1??? | Issue Date | ???itemlist.dc.description.resumo??? |
|---|---|---|---|---|---|
| One-dimensional sigma-models with N = 5, 6, 7, 8 off-shell supersymmetries | Gonzales, M. (Marcelo); Rojas, M. (Moises); Toppan, Francesco | - | 2008 | We computed the actions for the $1D$ $N=5$ $\sigma$-models with respect to the two inequivalent $(2,8,6)$ multiplets. $4$ supersymmetry generators are manifest, while the constraint originated by imposing the $5$-th 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. \par To obtain these results we developed a computational method (for {\em 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 $1D$ $N$-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. |
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