On some ground state components of the O(1) loop model
Mathematical Physics
2009-11-13 v4 Statistical Mechanics
Combinatorics
math.MP
Abstract
We address a number of conjectures about the ground state O(1) loop model, computing in particular two infinite series of partial sums of its entries and relating them to the enumeration of plane partitions. Our main tool is the use of integral formulae for a polynomial solution of the quantum Knizhnik-Zamolodchikov equation.
Cite
@article{arxiv.0901.1679,
title = {On some ground state components of the O(1) loop model},
author = {T. Fonseca and P. Zinn-Justin},
journal= {arXiv preprint arXiv:0901.1679},
year = {2009}
}
Comments
v4: fixed problem with refs appearing as ?