论文标题
量子晶格模型中的广义onsager代数
Generalised Onsager Algebra in Quantum Lattice Models
论文作者
论文摘要
Onsager代数是统计力学中准确解决模型的基石之一。从广义的Clifford代数开始，我们证明了它与temperley-lieb代数的关系，以及Onsager代数的概括。我们提出了一系列量子晶格模型作为广义Clifford代数的表示，并具有特殊类型的广义OnSager代数的结构。提出了这些模型的集成性，类似于自由费米克八vertex模型。我们还提到了与广义Onsager代数相关的模型和物理性质的进一步扩展，暗示了一个一般框架，其中包括具有具有广义Onsager代数结构的量子晶格模型家族。
The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph Temperley-Lieb algebra, and a generalisation of the Onsager algebra. We present a series of quantum lattice models as representations of the generalised Clifford algebra, possessing the structure of a special type of the generalised Onsager algebra. The integrability of those models is presented, analogous to the free fermionic eight-vertex model. We also mention further extensions of the models and physical properties related to the generalised Onsager algebras, hinting at a general framework that includes families of quantum lattice models possessing the structure of the generalised Onsager algebras.
