Braided structure of fractional $Z_3$-supersymmetry

Details Braided structure of fractional $Z_3$-supersymmetry Braided structure of fractional $Z_3$-supersymmetry

1996-08-30

arxiv.org/abs/hep-th/9609002v1

Czech.J.Phys. 46 (1996) 1145-1152

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, submitted to Proceedings of the 5th Colloquium `Quantum groups and integrable systems', Prague, June 1996 (to

Scientific paper

10.1007/BF01690328

It is shown that fractional $Z_3$-superspace is isomorphic to the $q\to\exp(2\pi i/3)$ limit of the braided line. $Z_3$-supersymmetry is identified as translational invariance along this line. The fractional translation generator and its associated covariant derivative emerge as the $q\to\exp(2\pi i/3)$ limits of the left and right derivatives from the calculus on the braided line

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