On q-Deformed Supersymmetric Classical Mechanical Models

Details On q-Deformed Supersymmetric Classical Mechanical Models On q-Deformed Supersymmetric Classical Mechanical Models

1995-04-20

arxiv.org/abs/hep-th/9504101v3

J.Math.Phys. 37 (1996) 6121-6129

Physics

High Energy Physics

High Energy Physics - Theory

No figures, 14 pages, Latex, revised version

Scientific paper

10.1063/1.531767

Based on the idea of quantum groups and paragrassmann variables, we presenta generalization of supersymmetric classical mechanics with a deformation parameter $q= \exp{\frac{2 \pi i}{k}}$ dealing with the $k =3$ case. The coordinates of the $q$-superspace are a commuting parameter $t$ and a paragrassmann variable $\theta$, where $% \theta^3 = 0$. The generator and covariant derivative are obtained, as well as the action for some possible superfields.

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