Combinatorial point for higher spin loop models
Mathematical Physics
2009-11-11 v4 Statistical Mechanics
Combinatorics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Integrable loop models associated with higher representations (spin k/2) of U_q(sl(2)) are investigated at the point q=-e^{i\pi/(k+2)}. The ground state eigenvalue and eigenvectors are described. Introducing inhomogeneities into the models allows to derive a sum rule for the ground state entries.
Keywords
Cite
@article{arxiv.math-ph/0603018,
title = {Combinatorial point for higher spin loop models},
author = {P. Zinn-Justin},
journal= {arXiv preprint arXiv:math-ph/0603018},
year = {2009}
}
Comments
latest version adds some references