New realizations of Lie algebra kappa-deformed Euclidean space

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We study Lie algebra $κ$-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 $κ$-deformed noncommutative space of the Lie algebra type with undeformed Poincar{é} algebra and with the corresponding deformed coalgebra is constructed in a unified way.
30 pages, Latex, accepted for publication in Eur.Phys.J.C, some typos corrected

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/214641

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0605133
 http://arxiv.org/abs/hep-th/0605133
 Eur.Phys.J.C47:531-539,2006
 doi:10.1140/epjc/s2006-02584-8

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arXiv