Please use this identifier to cite or link to this item: https://repositorio.mcti.gov.br/handle/mctic/6557
metadata.rede.dc.title: One-dimensional sigma-models with N = 5, 6, 7, 8 off-shell supersymmetries
metadata.rede.dc.contributor.author: Gonzales, M. (Marcelo)
Rojas, M. (Moises)
Toppan, Francesco
metadata.rede.dc.publisher: Centro Brasileiro de Pesquisas Físicas
metadata.rede.dc.date.issued: 2008
metadata.rede.dc.description.resumo: 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.
metadata.rede.dc.subject: Linguagem de programação
Computador
metadata.rede.dc.identifier.uri: https://repositorio.mcti.gov.br/handle/mctic/6557
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