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arXiv · 1610.01566

Super-de Sitter and alternative super-Poincar\'e symmetries

V. N. Tolstoy
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Abstract

It is well-known that de Sitter Lie algebra $\mathfrak{o}(1,4)$ contrary to anti-de Sitter one $\mathfrak{o}(2,3)$ does not have a standard $\mathbb{Z}_2$-graded superextension. We show here that the Lie algebra $\mathfrak{o}(1,4)$ has a superextension based on the $\mathbb{Z}_2\times\mathbb{Z}_2$-grading. Using the standard contraction procedure for this superextension we obtain an {\it alternative} super-Poincar\'e algebra with the $\mathbb{Z}_2\times\mathbb{Z}_2$-grading.

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V. N. Tolstoy. 2016-10-05. Super-de Sitter and alternative super-Poincar\'e symmetries. https://doi.org/10.1007/978-4-431-55285-7_26

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