Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)
High Energy Physics - Theory
2008-02-03 v2
Abstract
Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincar\'{e} group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group.
Cite
@article{arxiv.hep-th/9310054,
title = {Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)},
author = {J. Mund and R. Schrader},
journal= {arXiv preprint arXiv:hep-th/9310054},
year = {2008}
}
Comments
26 pages, standard LaTeX, 3 figures on request. An error in the appendix has been corrected, thanks to D.R.Grigore