New realizations of Lie algebra kappa-deformed Euclidean space

Details New realizations of Lie algebra kappa-deformed Euclidean space New realizations of Lie algebra kappa-deformed Euclidean space

2006-05-13

arxiv.org/abs/hep-th/0605133v2

Eur.Phys.J.C47:531-539,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, Latex, accepted for publication in Eur.Phys.J.C, some typos corrected

Scientific paper

10.1140/epjc/s2006-02584-8

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

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