English

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

High Energy Physics - Theory 2008-11-26 v2 Mathematical Physics math.MP Quantum Algebra Representation Theory

Abstract

The twisting function describing a nonstandard (super-Jordanian) quantum deformation of osp(12)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(12)osp(1|2) superalgebras are considered. One real quantum osp(12)osp(1|2) superalgebra is interpreted as describing the κ\kappa-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.

Keywords

Cite

@article{arxiv.hep-th/0301033,
  title  = {Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics},
  author = {A. Borowiec and J. Lukierski and V. N. Tolstoy},
  journal= {arXiv preprint arXiv:hep-th/0301033},
  year   = {2008}
}

Comments

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