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Fractional Supersymmetry and Lie Algebras

M. Rausch de Traubenberg
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Abstract

Supersymmetry and super-Lie algebras have been consistently generalized previously. The so-called fractional supersymmetry and $F-$Lie algebras could be constructed starting from any representation $\D$ of any Lie algebra $g$. This involves taking the $F^{\mathrm th}$ root of $\D$ in some sense. We show, after having constructed differential realization(s) of any Lie algebra, how fractional supersymmetry can be explicitly realized in terms of appropriate homogeneous monomials.

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M. Rausch de Traubenberg. 2000-07-19. Fractional Supersymmetry and Lie Algebras. https://arxiv.org/abs/hep-th/0007150

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