The Six-Vertex Model with a Non-Standard Boundary Condition
arXiv:2310.05281
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.
11 pages, 9 figures, comments are welcome!