Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics

Details Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics

2003-01-07

arxiv.org/abs/hep-th/0301033v2

Mod.Phys.Lett.A18:1157-1170,2003

Physics

High Energy Physics

High Energy Physics - Theory

13 pages,LaTeX, v2. References added, typos corrected

Scientific paper

10.1142/S021773230301096X

The twisting function describing a nonstandard (super-Jordanian) quantum deformation of $osp(1|2)$ is given in explicite closed form. The quantum coproducts and universal R-matrix are presented. The non-uniqueness of the twisting function as well as two real forms of the deformed $osp(1|2)$ superalgebras are considered. One real quantum $osp(1|2)$ superalgebra is interpreted as describing the $\kappa$-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.

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