Dimer representations of the Temperley–Lieb algebra
- Morin-Duchesne, Alexi(Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, B-1348, Belgium)
- Rasmussen, Jørgen(School of Mathematics and Physics, University of Queensland St Lucia, Brisbane, Queensland, 4072, Australia)
- Ruelle, Philippe(Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, B-1348, Belgium)
Publication date
December 2014
DOIAbstract
A new spin-chain representation of the Temperley–Lieb algebra TLn(β=0) is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension 2n , this dimer representation is of dimension 2n−1 . A detailed analysis of its structure is presented and found to yield indecomposable zigzag modules
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