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I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations.
P. Aschieri, M. Dimitrijevic, F. Meyer and J. Wess, “Noncommutative geometry and gravity,” Class. Quant. Grav. 23
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R. Wulkenhaar, “Non-renormalizability of Theta-expanded noncommutative QED,” JHEP 0203
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D. Grumiller, W. Kummer and D. V. Vassilevich, “A note on the triviality of kappa-deformations of gravity,” Ukr. J. Phys. 48
2003
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J. Wess, “Deformed coordinate spaces: Derivatives,” Lectures given at BW2003 Workshop on Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model: Perspectives of Balkans Collaboration, Vrnjacka Banja, Serbia, 29 Aug - 2 Sep 2003. arXiv:hep-th/0408080
2003
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M. Chaichian, P. P. Kulish, K. Nishijima and A. Tureanu, “On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT,” Phys. Lett. B 604
2004
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P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp and J. Wess, “A gravity theory on noncommutative spaces,” Class. Quant. Grav. 22
2005
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X. Calmet and A. Kobakhidze, “Noncommutative general relativity,” Phys. Rev. D 72
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M. Chaichian, P. Presnajder and A. Tureanu, “New concept of relativistic invariance in NC space-time: Twisted Poincare symmetry and its implications,” Phys. Rev. Lett. 94
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P. Matlock, “Non-commutative geometry and twisted conformal symmetry,” Phys. Rev. D 71
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2006
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D. V. Vassilevich, “Twist to close,” Mod. Phys. Lett. A 21
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J. Zahn, “Remarks on twisted noncommutative quantum field theory,” Phys. Rev. D 73
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M. Buric, D. Latas, V. Radovanovic and J. Trampetic, “Nonzero Z → \to gamma gamma decays in the renormalizable gauge sector of the noncommutative standard model,” Phys. Rev. D 75
2007
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M. Chaichian, A. Tureanu and G. Zet, “Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation,” Phys. Lett. B 651
2007
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G. Fiore and J. Wess, “On ’full’ twisted Poincare’ symmetry and QFT on Moyal-Weyl spaces,” Phys. Rev. D 75
2007
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S. Giller, C. Gonera, P. Kosinski and P. Maslanka, “On the consistency of twisted gauge theory,” Phys. Lett. B 655
2007
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J. Wess, “Differential calculus and gauge transformations on a deformed space,” Gen. Rel. Grav. 39
2007
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