Fractional Supersymmetry and Infinite Dimensional Lie Algebras

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.

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

References in corpus (1)

• Fractional Supersymmetry and Lie Algebras

Cited by in corpus (2)

• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• Kac-Moody algebras and Lie algebras of regular vector fields on tori