A modular spectral triple for κ-Minkowski space

Noncommutative Differential Calculus on the Κ-minkowski Space

Following the construction of the κ-Minkowski space from the bicrossproduct structure of the κ-Poincare group, we investigate possible differential calculi on this noncommutative space. We discuss then the action of the Lorentz quantum algebra and prove that there are no 4D bicovariant differential calculi, which are Lorentz covariant. We show, however, that there exist a fivedimensional differ...

Local D = 4 Field Theory on κ – Deformed Minkowski Space ∗

We describe the local D=4 field theory on κ–deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space–time. For simplicity the case of κ-deformed scalar field φ with the interaction λφ is considered, and the κ–deformed interaction vertex is described. Supported by KBN grant 2P03B13012 On leave of absence from the Institute for Theoretical Physics, University of ...

The Bicovariant Differential Calculus on the Κ-poincaré Group and on the Κ-minkowski Space

The bicovariant differential calculus on the four-dimensional κ-Poincaré group and the corresponding Lie-algebra like structure are described. The differential calculus on the n-dimensional κ-Minkowski space covariant under the action of the κ-Poincaré group is constructed.

κ–deformed Wigner construction of relativistic wave functions and free fields on κ-Minkowski space

We describe the extension of the Wigner‘s infinite-dimensional unitary representations of Poincaré group to the case of κ-deformed Poincaré group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on κdeformed Minkowski space. The cases of Klein–Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects ...

A not on modular hyperconvex space