Izergin–Korepin model with a boundary

Yupeng Wang, Wen‐Li Yang, Junpeng Cao +1 more

Heng Fan

Pavel Bleher, Karl Liechty

Pengcheng Lu, Junpeng Cao, Wen‐Li Yang +2 more

A bstract The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra U q ( $$ {A}_2^{(2)} $$ A 2 2 ) symmetry. Applying the t - W method, we derive the homogeneous zeroes Bethe ansatz equations and the corresponding zeroes patterns of the Izergin-Korepin model with generic integrable boundaries. Based on these results, we analytically compute the surface energies and boundary excitations in different regimes of boundary parameters of the model. It is shown that in some regimes, correlation effect appears between two boundary fields.

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.