Semi-Hopf Algebra and Supersymmetry
High Energy Physics - Theory
2007-05-23 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We define a semi-Hopf algebra which is more general than a Hopf algebra. Then we construct the supersymmetry algebra via the adjoint action on this semi-Hopf algebra. As a result we have a supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the Lagrangian N=1 and N=2 supersymmetry.
Keywords
Cite
@article{arxiv.hep-th/9908118,
title = {Semi-Hopf Algebra and Supersymmetry},
author = {Bobby Eka Gunara},
journal= {arXiv preprint arXiv:hep-th/9908118},
year = {2007}
}
Comments
15 pages, no figure and typos corrected