Anyons on Higher Genus Surfaces - a Constructive Approach
Condensed Matter
2009-10-22 v2
Abstract
We reconsider the problem of anyons on higher genus surfaces by embedding them in three dimensional space. From a concrete realization based on three dimensional flux tubes bound to charges moving on the surface, we explicitly derive all the representations of the spinning braid group. The component structure of the wave functions arises from winding the flux tubes around the handles. We also argue that the anyons in our construction must fulfil the generalized spin-statistics relation.
Cite
@article{arxiv.cond-mat/9305015,
title = {Anyons on Higher Genus Surfaces - a Constructive Approach},
author = {T. H. Hansson and Anders Karlhede and Erik Westerberg},
journal= {arXiv preprint arXiv:cond-mat/9305015},
year = {2009}
}
Comments
8 pages, LaTex, 2 figures available on request ([email protected]), USITP-93-11