The Six-Vertex Model with a Non-Standard Boundary Condition
Combinatorics
2023-10-10 v1
Abstract
We consider the enumeration of states in the Brubaker-Bump-Friedberg six-vertex model, whose boundary conditions are determined by an integer partition. In general, we find the number of states is a polynomial in the largest part of the partition. By explicating this technique, we also enumerate the states completely for hook shapes and staircases.
Cite
@article{arxiv.2310.05281,
title = {The Six-Vertex Model with a Non-Standard Boundary Condition},
author = {Matěj Doležálek and Martin Raška and Ester Sgallová and Eric Nathan Stucky and Mikuláš Zindulka},
journal= {arXiv preprint arXiv:2310.05281},
year = {2023}
}
Comments
11 pages, 9 figures, comments are welcome!