Exact finite size groundstate of the O(n=1) loop model with open boundaries
Mathematical Physics
2009-04-22 v3 Statistical Mechanics
math.MP
Abstract
We explicitly describe certain components of the finite size groundstate of the inhomogeneous transfer matrix of the O(n=1) loop model on a strip with non-trivial boundaries on both sides. In addition we compute explicitly the groundstate normalisation which is given as a product of four symplectic characters.
Keywords
Cite
@article{arxiv.0901.2961,
title = {Exact finite size groundstate of the O(n=1) loop model with open boundaries},
author = {Jan de Gier and Anita Ponsaing and Keiichi Shigechi},
journal= {arXiv preprint arXiv:0901.2961},
year = {2009}
}
Comments
29 pages, 33 eps figures, major revision