Dimer representations of the Temperley–Lieb algebra
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 i...
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| Veröffentlicht in: | Nuclear physics. B 2015-01, Vol.890, p.363-387 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0550-3213 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2014.11.016 |