Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra
Mathematical Physics
2007-05-23 v2 math.MP
Quantum Algebra
Abstract
We construct the general supersymmetry algebra via the adjoint action on a semi-Hopf algebra which has a more general structure than a Hopf algebra. As a result we have an extended supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the N=1 and generalized N=2 supersymmetry theory which leads to the Seiberg-Witten theory.
Keywords
Cite
@article{arxiv.math-ph/9909006,
title = {Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra},
author = {Bobby Eka Gunara},
journal= {arXiv preprint arXiv:math-ph/9909006},
year = {2007}
}
Comments
16 pages, no figure