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

Borowiec, A.; Lukierski, J.; Tolstoy, V. N.

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

Authors

Borowiec, A.

Lukierski, J.

Tolstoy, V. N.

Description

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 $κ$-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.
13 pages,LaTeX, v2. References added, typos corrected