$κ$-deformed complex fields, (discrete) symmetries, and charges

Abstract: We will briefly describe how to build a field theory of a complex scalar field in the $\kappa$-Minkowski spacetime. After introducing the action, we will shortly describe its properties under both continuous and deformed symmetry transformations. We will then describe how to compute the charges and describe their non-trivial properties due to $\kappa$-deformation. We will conclude with the experimental significance of the model, particularly in the context of decay probability differences between particles and antiparticles.