Naslov
Covariant realizations of kappa-deformed space

Autori
Meljanac, Stjepan ; Krešić-Jurić, Saša ; Stojić, Marko

Izvornik
European Physical Journal C (1434-6044) 51 (2007), 1; 229-240

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Lie algebra type noncommutative spaces; kappa-deformed space; covariant realizations; Dirac derivatives

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

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