New differential equations in the six-vertex model
Mathematical Physics
2016-04-20 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
This letter is concerned with the analysis of the six-vertex model with domain-wall boundaries in terms of partial differential equations (PDEs). The model's partition function is shown to obey a system of PDEs resembling the celebrated Knizhnik-Zamolodchikov equation. The analysis of our PDEs naturally produces a family of novel determinant representations for the model's partition function.
Keywords
Cite
@article{arxiv.1508.04690,
title = {New differential equations in the six-vertex model},
author = {W. Galleas},
journal= {arXiv preprint arXiv:1508.04690},
year = {2016}
}
Comments
14 pages; v2: minor changes, added reference, accepted for publication in JSTAT