Covariant realizations of kappa-deformed space |
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Authors: | S Meljanac S Krei-Juri and M Stoji |
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Institution: | (1) Rudjer Bošković Institute, Bijenička c. 54, 10002 Zagreb, Croatia;(2) Faculty of Natural and Mathematical Sciences, Teslina 12, 21000 Split, Croatia |
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Abstract: | We study a Lie algebra type κ-deformed space with an undeformed rotation algebra and commutative vector-like Dirac derivatives
in a covariant way. The 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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Keywords: | |
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