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The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter $\Theta(x)$ is discussed.
1903
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1903
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1903
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M. Dimitrijevic, F. Meyer, L. Moller and J. Wess, “Gauge theories on the kappa Minkowski space-time,” Eur. Phys. J. C 36
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2017
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R. Blumenhagen, I. Brunner, V. Kupriyanov and D. Lüst, “Bootstrapping non-commutative gauge theories from L ∞ algebras,” JHEP 1805
2018
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R. Blumenhagen, M. Brinkmann, V. Kupriyanov and M. Traube, “On the Uniqueness of L ∞ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps,” J. Math. Phys. 59
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V. G. Kupriyanov, “Recurrence relations for symplectic realization of (quasi)-Poisson structures,” J. Phys. A 52
2019
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