The Izergin-Korepin Model

Wen‐Li Yang, Yao-Zhong Zhang

Heng Fan

Pavel Bleher, Karl Liechty

Kohei Motegi, Kazumitsu Sakai

Recently, the Izergin-Korepin technique, which was originally a method to the analyze the domain wall boundary partition functions initiated by Korepin and Izergin, was extended to the wavefunctions of integrable six-vertex models. We illustrate for the case of the rational integrable models.

Takeo Kojima

We study the ground state of the boundary Izergin–Korepin model. The boundary Izergin–Korepin model is defined by the so-called R-matrix and K-matrix for [Formula: see text] which satisfy Yang–Baxter equation and boundary Yang–Baxter equation. The ground state associated with identity K-matrix [Formula: see text] was constructed by W.-L. Yang and Y.-Z. Zhang in earlier study. We construct the free field realization of the ground state associated with nontrivial diagonal K-matrix.

Yi Qiao, Xin Zhang, Kun Hao +4 more

We propose a convenient orthogonal basis of the Hilbert space for the quantum spin chain associated with the A2(2) algebra (or the Izergin–Korepin model). It is shown that compared with the original basis the monodromy-matrix elements acting on this basis take relatively simple forms, which is quite similar as that for the quantum spin chain associated with An algebra in the so-called F-basis. As an application of our general results, we present the explicit recursive expressions of the Bethe states in this basis for the Izergin–Korepin model.