Covariant realizations of kappa-deformed space

Details Covariant realizations of kappa-deformed space Covariant realizations of kappa-deformed space

2007-02-27

arxiv.org/abs/hep-th/0702215v2

Eur.Phys.J.C51:229-240,2007

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figures, LaTeX

Scientific paper

10.1140/epjc/s10052-007-0285-8

We study a Lie algebra type $\kappa$-deformed space with undeformed rotation algebra and commutative vector-like Dirac derivatives in a covariant way. Space deformation depends on an arbitrary vector. Infinitely many covariant realizations in terms of commuting coordinates of undeformed space and their derivatives are constructed. The corresponding coproducts and star products are found and related in a new way. All covariant realizations are physically equivalent. Specially, a few simple realizations are found and discussed. The scalar fields, invariants and the notion of invariant integration is discussed in the natural realization.

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