The Duffin-Kemmer-Petiau equation in a κ-Minkowski space-time

We study a Duffin-Kemmer-Petiau (DKP) equation built in a kappa-Minkowski space-time using Dirac derivatives, and analyse its consequences. We show that the kappa-deformation preserves parity and time reversal symmetries while it breaks that of the charge conjugation. Then, we investigate effects of this deformation on the energy spectrum of the spin-one DKP oscillator using a perturbation method. These effects are calculated for any value of the total angular momentum number in the case of natural-parity states and for vanishing angular momentum in the case of unnatural-parity states.