The Functional Method for the Domain-Wall Partition Function

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Lamers, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209786
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Functional Method for the Domain-Wall Partition Function / J. Lamers // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 45 назв. — англ.

We review the (algebraic-)functional method devised by Galleas and further developed by Galleas and the author. We first explain the method using the simplest example: the computation of the partition function for the six-vertex model with domain-wall boundary conditions. At the heart of the method...