Use este identificador para citar ou linkar para este item: http://repositorio.ufla.br/jspui/handle/1/45462
Título: One-dimensional σ-models with N = 5, 6, 7, 8 off-shell supersymmetries
Palavras-chave: Supersymmetric quantum mechanics
SUSY quantum mechanics
SUSY QM
Data do documento: 2009
Editor: World Scientific Publishing
Citação: GONZALES, M.; ROJAS, M.; TOPPAN, F. One-dimensional σ-models with N = 5, 6, 7, 8 off-shell supersymmetries. International Journal of Modern Physics A, [S.l.], v. 24, n. 23, p. 4317-4326, 2009. DOI: 10.1142/S0217751X09044516.
Resumo: We computed the actions for the one-dimensional (1D)N = 5 σ-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 nowadays available list of the inequivalent representations of the 1DN-extended supersymmetry. Its application to systematically analyze the σ-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.
URI: https://www.worldscientific.com/doi/abs/10.1142/S0217751X09044516
http://repositorio.ufla.br/jspui/handle/1/45462
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