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arXiv · 1202.3305

Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime

D. Kovacevic·S. Meljanac·A. Pachol·R. Strajn
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Abstract

We propose a generalized description for the kappa-Poincare-Hopf algebra as a symmetry quantum group of underlying kappa-Minkowski spacetime. We investigate all the possible implementations of (deformed) Lorentz algebras which are compatible with the given choice of kappa-Minkowski algebra realization. For the given realization of kappa-Minkowski spacetime there is a unique kappa-Poincare-Hopf algebra with undeformed Lorentz algebra. We have constructed a three-parameter family of deformed Lorentz generators with kappa-Poincare algebras which are related to kappa-Poincare-Hopf algebra with undeformed Lorentz algebra. Known bases of kappa-Poincare-Hopf algebra are obtained as special cases. Also deformation of igl(4) Hopf algebra compatible with the kappa-Minkowski spacetime is presented. Some physical applications are briefly discussed.

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D. Kovacevic, S. Meljanac, A. Pachol, R. Strajn. 2012-04-06. Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime. https://doi.org/10.1016/j.physletb.2012.03.062

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