Dimer representations of the Temperley-Lieb algebra
Mathematical Physics
2015-06-22 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
A new spin-chain representation of the Temperley-Lieb algebra is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension , this dimer representation is of dimension . A detailed analysis of its structure is presented and found to yield indecomposable zigzag modules.
Keywords
Cite
@article{arxiv.1409.3416,
title = {Dimer representations of the Temperley-Lieb algebra},
author = {Alexi Morin-Duchesne and Jorgen Rasmussen and Philippe Ruelle},
journal= {arXiv preprint arXiv:1409.3416},
year = {2015}
}
Comments
23 pages. Comments and references added