Higher spin generalization of the 6-vertex model and Macdonald polynomials
The partition function of the 6-vertex model with Domain Wall Boundary Conditions (DWBC) was given by Izergin, in a determinantal form. It is known that for a special value of the parameters it reduces to a Schur polynomial. In 2006, Caradoc, Foda and Kitanine computed the partition function of the higher spin generalization of the 6-vertex model. In this article, we prove that, for a special value of the parameters, referred to as the combinatorial point, the partition function is in fact a Macdonald polynomial.