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We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into quantum phase space.
P. Aschieri, M. Dimitrijevic, F. Meyer, J. Wess, “Noncommutative Geometry and Gravity”, Class.Quant.Grav. 23 (2006) 1883-1912, arXiv:hep-th/0510059
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J. Lukierski, A. Nowicki, H. Ruegg and V. N. Tolstoy, “Q-deformation of Poincaré algebra”, Phys. Lett. B 2
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P. Kosinski, J. Lukierski and P. Maslanka, “Local D=4 Field Theory on κ \kappa –Deformed Minkowski Space”, Phys. Rev. D 62
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M. R. Douglas, N. A. Nekrasov, “Noncommutative Field Theory”, Rev.Mod.Phys.73:977-1029,(2001), arXiv:hep-th/0106048
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R. J. Szabo, “Quantum Field Theory on Noncommutative Spaces”, Phys.Rept.378:207-299,(2003), arXiv:hep-th/0109162
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P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp, J. Wess, “A Gravity Theory on Noncommutative Spaces”, Class.Quant.Grav. 22 (2005) 3511-3532, arXiv:hep-th/0504183
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S. Meljanac and M. Stojić, “New realizations of Lie alegbra kappa-deformed Euclidean space”, Eur. Phys. J. C 47
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S. Meljanac, S. Krešić-Jurić and M. Stojić, “Covariant realizations of kappa-deformed space”, Eur. Phys. J. C 51
2007
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B.P. Dolan, Kumar S. Gupta, A. Stern, “Noncommutative BTZ Black Hole and Discrete Time”, Class.Quant.Grav.24:1647-1656,2007, arXiv:hep-th/0611233
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M. Daszkiewicz, J. Lukierski and M. Woronowicz, “Towards Quantum Noncommutative κ \kappa -deformed Field Theory”, Phys. Rev. D 77
2008
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2008
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2010
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S. Meljanac and S. Krešić-Jurić, “Differential structure on κ \kappa -Minkowski space, and κ \kappa -Poincaré algebra”, Int. J. Mod. Phys. A 26
2011
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S. Meljanac, S. Krešić-Jurić and R. Štrajn, “Differential algebras on kappa-Minkowski space and action of the Lorentz algebra”, Int. J. Mod. Phys. A 27
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