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arXiv · hep-th/0301033

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

A. Borowiec·J. Lukierski·V. N. Tolstoy
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Abstract

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.

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A. Borowiec, J. Lukierski, V. N. Tolstoy. 2003-04-30. Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics. https://doi.org/10.1142/s021773230301096x

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