Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
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DOI：
10.1007/s00023-018-0731-1
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发表时间：
2017-10
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影响因子：
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通讯作者：
Allan Gerrard;N. Mackay;V. Regelskis
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文献类型：
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作者：
Allan Gerrard;N. Mackay;V. Regelskis
本文对一维开自旋链给出了一个嵌套代数Bethe矩阵，其边界量子空间是不可约的或-表示，且其单值矩阵满足Olshanskii扭Yangian的定义关系.我们使用的推广的Bethe anomaly介绍的De Vega和Karowski，这使我们能够与一个或对称的开放的自旋链的非对称周期自旋链的谱问题。我们明确地推导出的Bethe向量和嵌套的Bethe方程的结构。
We present a nested algebraic Bethe ansatz for a one-dimensional open spin chain whose boundary quantum spaces are irreducible- or-representations, and the monodromy matrix satisfies the defining relations of the Olshanskii twisted Yangian. We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a- or-symmetric open spin chain to that of a-symmetric periodic spin chain. We explicitly derive the structure of the Bethe vectors and the nested Bethe equations.