Exotic Particles and $w_\infty$-Algebras in Two- and High-Dimensional Spaces
High Energy Physics - Lattice
2011-07-19 v2
Abstract
We construct a set of noncommuting translation operators in two and high-dimensional lattices. The algebras they close are -algebras. The construction is based on the introduction of noncommmuting elementary link operators which link two neighborhood sites in the lattice. This kind of operators preserve the braiding nature of exotic particles living basically in two-dimensional space.
Keywords
Cite
@article{arxiv.hep-lat/0505018,
title = {Exotic Particles and $w_\infty$-Algebras in Two- and High-Dimensional Spaces},
author = {Jamila Douari},
journal= {arXiv preprint arXiv:hep-lat/0505018},
year = {2011}
}
Comments
8 pages, the fig.2 is changed