Spinorial R operator and Algebraic Bethe Ansatz
Spinorial R operator and Algebraic Bethe Ansatz
复制标题
DOI：
10.1016/j.nuclphysb.2019.114905
复制
发表时间：
2019-11
影响因子：
2.8
通讯作者：
D. Karakhanyan;R. Kirschner
中科院分区：
文献类型：
--
作者：
D. Karakhanyan;R. Kirschner
提出了一种新的具有正交和辛对称性的旋量-旋量R-矩阵的构造方法。基于这种方法和融合方法，我们将量子自旋链的旋量向量矩阵和向量向量单行矩阵联系起来。我们考虑低秩正交代数的显式旋量R矩阵和相应的RTT代数。与基本R矩阵的重合允许将旋量矩阵和向量单行矩阵的代数Bethe Anatz联系起来。
We propose a new approach to the spinor-spinor R-matrix with orthogonal and symplectic symmetry. Based on this approach and the fusion method we relate the spinor-vector and vector-vector monodromy matrices for quantum spin chains. We consider the explicit spinorRmatrices of low rank orthogonal algebras and the correspondingRTTalgebras. Coincidences with fundamentalRmatrices allow to relate the Algebraic Bethe Ansatz for spinor and vector monodromy matrices.