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 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.