A remark on ground state of boundary Izergin-Korepin model

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.

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• Non-Abelian symmetries of the half-infinite XXZ spin chain
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• Form factors of the half-infinite XXZ spin chain with a triangular boundary
• Boundary state of $U_q(\widehat{gl}(N|N))$ analog of half-infinite $t-J$ model