Abstract
We consider the level 1 solution of the quantum Knizhnik-Zamolodchikov equation with reflecting boundary conditions which is relevant to the Temperley-Lieb model of loops on a strip. By use of integral formulae we prove conjectures relating it to the weighted enumeration of cyclically symmetric transpose complement plane partitions and related combinatorial objects.
| Original language | English (US) |
|---|---|
| Article number | P12009 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2007 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 1 2007 |
| Externally published | Yes |
Keywords
- Algebraic structures of integrable models
- Loop models and polymers
- Solvable lattice models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
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