Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries

Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries
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具有通用可积边界的 SU(2|2) 自旋链模型的分级非对角 Bethe ansatz 解

DOI:
10.1016/j.nuclphysb.2020.115206
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发表时间:
2020-07
期刊:
影响因子:
2.8
通讯作者:
Yupeng Wang
Yupeng Wang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Xiaotian Xu;Junpeng Cao;Yi Qiao;Wen-Li Yang;Kangjie Shi;Yupeng Wang

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提出了研究超对称量子可积模型(即与超代数相关的量子可积模型)的分次非对角线Bethe ansatz方法。作为例子,构造了具有周期和一般开边界条件的S U(2|2)顶点模型的精确解。通过将融合技术推广到超对称情形,导出了关于传递矩阵的算子乘积恒等式的闭集,从而允许我们以齐次或非齐次T-−-Q关系的形式给出本征值。本文提供的方法和结果可推广到其他高阶超对称量子可积模型。
The graded off-diagonal Bethe ansatz method is proposed to study supersymmetric quantum integrable models (ie, quantum integrable models associated with superalgebras). As an example, the exact solutions of the S U (2| 2) vertex model with both periodic and generic open boundary conditions are constructed. By generalizing the fusion techniques to the supersymmetric case, a closed set of operator product identities about the transfer matrices are derived, which allows us to give the eigenvalues in terms of homogeneous or inhomogeneous T− Q relations. The method and results provided in this paper can be generalized to other high rank supersymmetric quantum integrable models.
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