Spectrum of the quantum integrable $D^{(2)}_2$ spin chain with generic boundary fields

TL;DR

This paper provides an exact solution for the quantum integrable $D^{(2)}_2$ spin chain with generic boundary fields, revealing a factorization property and deriving eigenvalues and Bethe ansatz equations.

Contribution

It introduces a novel exact solution method for the $D^{(2)}_2$ spin chain with generic boundary conditions using off-diagonal Bethe ansatz.

Findings

Transfer matrix factorizes into two open XXZ chains.

Eigenvalues and Bethe ansatz equations are explicitly derived.

The approach advances understanding of integrable models with boundary fields.

Abstract

Exact solution of the quantum integrable $D^{(2)}_2$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered anisotropic XXZ spin chains. Based on this identity, the eigenvalues and Bethe ansatz equations of the $D^{(2)}_2$ model are derived via off-diagonal Bethe ansatz.