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

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.

References in corpus (6)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• The Quantum Deformed Dirac Equation from the k-Poincare` Algebra
• Bicovariant Quantum Algebras and Quantum Lie Algebras
• Differential calculi on quantum Minkowski space
• Quantum groups and deformed special relativity
• Dirac operators on quantum two spheres

Cited by in corpus (7)

• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• $\kappa$-deformed Dirac Equation
• Spectral geometry of $\kappa$-Minkowski space
• Blackbody radiation in κ-Minkowski spacetime
• Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Quantisation of $\kappa$-deformed Dirac equation