A short introduction to $\kappa$-deformation

Abstract

In this short review we describe some aspects of $\kappa$-deformation. After discussing the algebraic and geometric approaches to $\kappa$-Poincaré algebra we construct the free scalar field theory, both on non-commutative $\kappa$-Minkowski space and on curved momentum space. Finally, we make a few remarks concerning interacting scalar field.

27 pages, submitted to the review section of International Journal of Modern Physics A

References in corpus (6)

• Kappa-Minkowski space-time and the star product realizations
• Dimension and Dimensional Reduction in Quantum Gravity
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
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Cited by in corpus (2)

• A bound on Planck-scale deformations of CPT from muon lifetime
• The energy-momentum conservation law in two-particle system for twist-deformed Galilei Hopf algebras