English

On Nonstandard Quantizations of osp(2|1) Superalgebra via Contraction and Mapping

Quantum Algebra 2007-05-23 v1

Abstract

We develop a generic reprersentation-independent contraction procedure for obtaining, for instance, RhR_{\sf h} and LL operators of arbitrary dimensions for the quantized Uh(osp(21)){\cal U}_{\sf h}(osp(2|1)) algebra corresponding to the classical r2r_2 matrix from the pertinent quantities of the standard q-deformed Uq(osp(21)){\cal U}_q(osp(2|1)) algebra. Also the quantized Uh(osp(21)){\bf U_h}(osp(2|1)) algebra corresponding to the classical r1r_1 matrix comprising of the generators of the classical sl(2)sl(2) algebra is obtained in terms of a nonlinear basis set.

Keywords

Cite

@article{arxiv.math/0309414,
  title  = {On Nonstandard Quantizations of osp(2|1) Superalgebra via Contraction and Mapping},
  author = {B. Abdesselam and R. Chakrabarti and A. Hazzab and A. Yanallah},
  journal= {arXiv preprint arXiv:math/0309414},
  year   = {2007}
}

Comments

13 pages