English

New realizations of Lie algebra kappa-deformed Euclidean space

High Energy Physics - Theory 2009-01-07 v2

Abstract

We study Lie algebra κ\kappa-deformed Euclidean space with undeformed rotation algebra SOa(n)SO_a(n) 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 κ\kappa-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