On Twist Quantizations of D=4 Lorentz and Poincare Algebras
High Energy Physics - Theory
2009-11-11 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We use the decomposition of o(3,1)=sl(2;C)_1\oplus sl(2;C)_2 in order to describe nonstandard quantum deformation of o(3,1) linked with Jordanian deformation of sl(2;C}. Using twist quantization technique we obtain the deformed coproducts and antipodes which can be expressed in terms of real physical Lorentz generators. We describe the extension of the considered deformation of D=4 Lorentz algebra to the twist deformation of D=4 Poincare algebra with dimensionless deformation parameter.
Keywords
Cite
@article{arxiv.hep-th/0510154,
title = {On Twist Quantizations of D=4 Lorentz and Poincare Algebras},
author = {A. Borowiec and J. Lukierski and V. N. Tolstoy},
journal= {arXiv preprint arXiv:hep-th/0510154},
year = {2009}
}
Comments
6 pages, presented during the XIVth International Colloquium on Integrable Systems (ISQS-14), Prague, June 16-18, 2005; to appear in Czech. J. Phys. v.55 no. 11 (2005)