Factorization of rational six vertex model partition functions

Factorization of rational six vertex model partition functions

Blog Article

We show factorization formulas for a class of partition functions of rational six vertex model.First we show factorization formulas for partition functions under triangular boundary.Further, by combining the factorization formulas with the explicit forms Makeup Sponge of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary.We also discuss an application to emptiness formation probabilities under Paw trapezoid boundary which admit determinant representations.