Semi-Hopf Algebra and Supersymmetry

Details Semi-Hopf Algebra and Supersymmetry Semi-Hopf Algebra and Supersymmetry

1999-08-18

arxiv.org/abs/hep-th/9908118v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figure and typos corrected

Scientific paper

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.

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