Deformed discrete symmetries

TL;DR

This paper develops a framework for discrete symmetries in deformed relativistic kinematics, specifically for kappa-deformations of the Poincare algebra, aiming to facilitate experimental tests of quantum spacetime models.

Contribution

It introduces a method to construct discrete symmetry transformations for deformed kinematics based on group-valued momenta, focusing on kappa-deformations of the Poincare algebra.

Findings

First step towards analyzing experimental bounds on deformation parameter kappa

Framework for symmetry transformations in deformed relativistic theories

Potential for precision tests of quantum spacetime models

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.