Dirac operator on $κ$-Minkowski space bicovariant differential calculus and deformed U(1) gauge theory

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Derivation of $κ$-Poincare bicovariant commutation relations between coordinates and 1-forms on $κ$-Minkowski space is given using Dirac operator and Allain Connes formula. The deformed U(1) gauge theory and appearance of an additional spin 0 gauge field is discussed.

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