A remark on ground state of boundary Izergin-Korepin model

TL;DR

This paper investigates the ground state of the boundary Izergin-Korepin model, extending previous work by constructing a free field realization for nontrivial diagonal boundary conditions.

Contribution

It introduces a new free field realization of the ground state for the boundary Izergin-Korepin model with nontrivial diagonal K-matrices, expanding understanding of boundary integrable models.

Findings

Constructed free field realization for nontrivial diagonal K-matrices.

Extended the ground state analysis beyond the identity K-matrix case.

Provided explicit formulas for the boundary ground state.

Abstract

We study the ground state of the boundary Izergin-Korepin model. The boundary Izergin-Korepin model is defined by so-called $R$-matrix and $K$-matrix for $U_q(A_2^{(2)})$ which satisfy Yang-Baxter equation and boundary Yang-Baxter equation respectively. The ground state associated with identity $K$-matrix $K(z)=id$ was constructed in earlier study [Yang and Zhang, Nucl.Phys.B596,495-(2001)]. We construct the free field realization of the ground state associated with nontrivial diagonal $K$-matrix.