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arXiv · hep-th/0109106

Fractional Supersymmetry and Infinite Dimensional Lie Algebras

M. Rausch de Traubenberg
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Abstract

In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation $\D$ of any Lie algebra $\g$. Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of $\g$ this infinite dimensional Lie algebra, containing the Lie algebra $\g$ as a sub-algebra, is explicitly constructed.

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M. Rausch de Traubenberg. 2001-09-13. Fractional Supersymmetry and Infinite Dimensional Lie Algebras. https://doi.org/10.1016/s0920-5632(01)01564-x

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