Functional relations in nineteen-vertex models with domain-wall boundaries
Mathematical Physics
2019-11-13 v1 Statistical Mechanics
math.MP
Exactly Solvable and Integrable Systems
Abstract
This work is concerned with functional properties shared by partition functions of nineteen-vertex models with domain-wall boundary conditions. In particular, we describe both Izergin-Korepin and Fateev-Zamolodchikov models with the aforementioned boundary conditions and show their partition functions are governed by a system of functional equations originated from the associated Yang-Baxter algebra.
Cite
@article{arxiv.1810.06482,
title = {Functional relations in nineteen-vertex models with domain-wall boundaries},
author = {A. Bossart and W. Galleas},
journal= {arXiv preprint arXiv:1810.06482},
year = {2019}
}
Comments
34 pages