Fractional Supersymmetry and Infinite Dimensional Lie Algebras

Details Fractional Supersymmetry and Infinite Dimensional Lie Algebras Fractional Supersymmetry and Infinite Dimensional Lie Algebras

2001-09-13

arxiv.org/abs/hep-th/0109106v1

Nucl.Phys.Proc.Suppl.102:256-263,2001

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, D.V.Volkov Memorial Conference ``Supersymmetry and Quantum Field Theory'', Kharkov, July 25-29, 2000), two figures

Scientific paper

10.1016/S0920-5632(01)01564-X

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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