Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics
Mathematical Physics
2009-11-13 v2 Combinatorics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider the level 1 solution of 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.
Keywords
Cite
@article{arxiv.0709.3410,
title = {Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics},
author = {P. Di Francesco and P. Zinn-Justin},
journal= {arXiv preprint arXiv:0709.3410},
year = {2009}
}