Abstract
We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open (reflecting) boundaries as a function of the quantum parameter q and the τ-enumeration of plane partitions with specific symmetries, with τ ≤ -(q+q-1). We also find a conjectural relation la Razumov-Stroganov between the limit of the qKZ solution and refined numbers of totally symmetric self-complementary plane partitions.
| Original language | English (US) |
|---|---|
| Article number | P01024 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2007 |
| Externally published | Yes |
Keywords
- Algebraic structures of integrable models
- Loop models and polymers
- Topology and combinatorics
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
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