A Klein operator for paraparticles
Mathematical Physics
2023-09-12 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
It has been known for a long time that there are two non-trivial possibilities for the relative commutation relations between a set of parafermions and a set of parabosons. These two choices are known as ``relative parafermion type'' and ``relative paraboson type'', and correspond to quite different underlying algebraic structures. In this short note we show how the two possibilities are related by a so-called Klein transformation.
Cite
@article{arxiv.2112.14118,
title = {A Klein operator for paraparticles},
author = {N. I. Stoilova and J. Van der Jeugt},
journal= {arXiv preprint arXiv:2112.14118},
year = {2023}
}