Deformed discrete symmetries

Abstract

We construct discrete symmetry transformations for deformed relativistic kinematics based on group valued momenta. We focus on the specific example of kappa-deformations of the Poincare algebra with associated momenta living on (a sub-manifold of) de Sitter space. Our approach relies on the description of quantum states constructed from deformed kinematics and the observable charges associated with them. The results we present provide the first step towards the analysis of experimental bounds on the deformation parameter kappa to be derived via precision measurements of discrete symmetries and CPT.

10 pages, final version, to appear in PLB

References in corpus (11)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Quantum Spacetime Phenomenology
• The principle of relative locality
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Doubly Special Relativity and de Sitter space
• Waves on Noncommutative Spacetime and Gamma-Ray Bursts
• First observation of quantum interference in the process phi -> KS KL ->pi+pi-pi+pi-: a test of quantum mechanics and CPT symmetry
• Test of CPT and Lorentz symmetry in entangled neutral kaons with the KLOE experiment
• Lorentz invariant field theory on kappa-Minkowski space
• Unified description for kappa-deformations of orthogonal groups
• Representation Theory of Quantized Poincare Algebra. Tensor Operators and Their Application to One-Partical Systems

Cited by in corpus (14)

• $\kappa$-deformed complex fields and discrete symmetries
• Testing Noncommutative Spacetimes and Violations of the Pauli Exclusion Principle with underground experiments
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• A bound on Planck-scale deformations of CPT from muon lifetime
• Strongest atomic physics bounds on Non-Commutative Quantum Gravity Models
• Physical Constraints on Quantum Deformations of Spacetime Symmetries
• Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• A short introduction to $\kappa$-deformation
• Correlation between opposite-helicity gravitons: Imprints on gravity-wave and microwave backgrounds
• Novel Machine Learning and Differentiable Programming Techniques applied to the VIP-2 Underground Experiment
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Parity at the Planck scale
• Asymmetry in momentum space: restoring $\mathcal{C}\mathcal{P}\mathcal{T}$ invariance of $\kappa$-field theory