$B_k$自旋顶点模型与量子代数
$B_k$ Spin Vertex Models and Quantum Algebras
摘要：
基于李代数$B_k$的自旋表示，我们构造了新的可解顶点模型.我们使用这些模型来研究这种顶点理论的代数结构。我们发现，所有的$B_k$自旋顶点模型服从一个版本的宝马代数以及额外的关系，被称为$n$ -CB（保形编织）代数。这些代数之前讨论过各种IRF（周围的脸的相互作用）模型。在这里，我们建立了相同的代数适用于顶点模型。
英文摘要：
We construct new solvable vertex models based on the spin representation of the Lie algebra $B_k$. We use these models to study the algebraic structure underlying such vertex theories. We show that all the $B_k$ spin vertex models obey a version of the BMW algebra along with extra relations that are called $n$--CB (conformal braiding) algebras. These algebras were discussed before for various IRF (interaction round the face) models. Here we establish that the same algebras hold for vertex models.
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