We present a construction of κ -deformed complex scalar field theory with the objective of shedding light on the way discrete symmetries and C P T invariance are affected by the deformation. Our starting point is the observation that, in order to have an appropriate action of Lorentz symmetries on antiparticle states, these should be described by four-momenta living on the complement of the portion of the de Sitter group manifold to which κ -deformed particle four-momenta belong. Once the equations of motions are properly worked out from the deformed action, we obtain that the particle and antiparticle are characterized by different mass-shell constraints, leading to a subtle form of departure from C P T invariance. The remaining part of our work is dedicated to a detailed description of the action of deformed Poincaré and discrete symmetries on the complex field.
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机译：我们展示了κ-deformed复杂标量场理论的结构，目的是在离散对称的方式下脱光，并且C p T不变性受变形的影响。 我们的出发点是观察，为了在抗披面态对Lorentz对称的适当行动，这些应该通过生活在De Sitter Group歧管的部分的四大动画来描述κ-deformed粒子四 -momenta属于。 一旦运动的方程从变形的动作得到了适当的方式，我们获得了颗粒和抗颗粒的特征在于不同的质量壳限制，导致从C P T不变性的偏离的微妙形式。 我们工作的剩余部分致力于对复杂领域的变形Poincaré和离散对称的作用进行详细描述。
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