Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra

Details Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra

1999-09-07

arxiv.org/abs/math-ph/9909006v2

Physics

Mathematical Physics

16 pages, no figure

Scientific paper

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.

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