TCP in q-Lorentz Theories

TL;DR

This paper demonstrates that the TCP symmetry, linking spin and statistics, extends to q-Lorentz groups, broadening the understanding of fundamental symmetries in quantum groups.

Contribution

It shows that the TCP connection between spin and statistics applies to q-Lorentz groups, extending known symmetries to quantum deformations.

Findings

TCP symmetry holds for q-Lorentz groups

Spin-statistics connection is preserved in quantum group context

Extends fundamental symmetry principles to quantum deformations

Abstract

The connection between spin and statistics implied by the continuous Lorentz group together with strong reflection (TCP) is shown to hold also for the q-Lorentz group.