# PREPRINT 18/1997

P. N. Bibikov

### Dirac operator on {\hdcmmi\char'024}-Minkowski space, bicovariant differential calculus and deformed {\hdcmmi\char'125}(1) gauge theory

This preprint was accepted July 6, 1997.
Contact: P.N.Bibikov

Abstract:
Derivation of $\kappa$-Poincare bicovariant commutation relations between coordinates and 1-forms on $\kappa$-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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