Braided structure of fractional $Z_3$-supersymmetry

Abstract

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

8 pages, LaTeX, submitted to Proceedings of the 5th Colloquium `Quantum groups and integrable systems', Prague, June 1996 (to appear in Czech. J. Phys.)

References in corpus (1)

• Geometrical foundations of fractional supersymmetry

Cited by in corpus (1)

• n-ary algebras: a review with applications