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 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 superalgebras are considered. One real quantum superalgebra is interpreted as describing the -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