New realizations of Lie algebra kappa-deformed Euclidean space
High Energy Physics - Theory
2009-01-07 v2
Abstract
We study Lie algebra -deformed Euclidean space with undeformed rotation algebra and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting coordinates are constructed and a corresponding star product is found for each of them. The -deformed noncommutative space of the Lie algebra type with undeformed Poincar{\'e} algebra and with the corresponding deformed coalgebra is constructed in a unified way.
Keywords
Cite
@article{arxiv.hep-th/0605133,
title = {New realizations of Lie algebra kappa-deformed Euclidean space},
author = {Stjepan Meljanac and Marko Stojic},
journal= {arXiv preprint arXiv:hep-th/0605133},
year = {2009}
}
Comments
30 pages, Latex, accepted for publication in Eur.Phys.J.C, some typos corrected