Fractional Supersymmetry and Infinite Dimensional Lie Algebras
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation of any Lie algebra . Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of this infinite dimensional Lie algebra, containing the Lie algebra as a sub-algebra, is explicitly constructed.
Keywords
Cite
@article{arxiv.hep-th/0109106,
title = {Fractional Supersymmetry and Infinite Dimensional Lie Algebras},
author = {M. Rausch de Traubenberg},
journal= {arXiv preprint arXiv:hep-th/0109106},
year = {2008}
}
Comments
8 pages, D.V.Volkov Memorial Conference ``Supersymmetry and Quantum Field Theory'', Kharkov, July 25-29, 2000), two figures