5 citations · 5 across the 1 of their papers we have counts for
3 papers
math-ph2006★ 5 cited
A_k Generalization of the O(1) Loop Model on a Cylinder: Affine Hecke Algebra, q-KZ Equation and the Sum Rule
Keiichi Shigechi, Masaru Uchiyama
We study the A_k generalized model of the O(1) loop model on a cylinder. The affine Hecke algebra associated with the model is characterized by a vanishing condition, the cylindric…
cond-mat.stat-mech2005
Boxed Skew Plane Partition and Integrable Phase Model
Keiichi Shigechi, Masaru Uchiyama
We study the relation between the boxed skew plane partition and the integrable phase model. We introduce a generalization of a scalar product of the phase model and calculate it i…
hep-th2004
WDVV equation and Triple-product Relation
Keiichi Shigechi, Miki Wadati, Ning Wang
We study the relation between the WDVV equations and the -function of the noncommutative KP (NCKP) hierarchy. WDVV-like equations (Hirota triple-product relation) in the noncomm…