论文标题
反铁磁POTTS模型中的可整合边界条件
Integrable boundary conditions in the antiferromagnetic Potts model
论文作者
论文摘要
我们提供了交错的六个vertex模型与由扭曲仿射$ d_2^2 $ lie代数构建的可集成模型之间的精确映射。使用交错的六个vertex模型和防铁磁POTTS模型之间的已知关系，该映射使我们能够使用集成性工具研究后一种模型。我们表明，就temperley-lieb代数发电机而言，对$ d_2^2 $模型的一种已知K-matrices之一有一个简单的解释，并使用它来提出可集成的哈密顿式的，事实证明，它与具有自由边界条件的反铁磁性potts属于相同的普遍性类别。讨论了在相关工作中观察到的频谱中的有趣脱落（ARXIV：NLIN/0002050和ARXIV：1707.09260）。
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine $D_2^2$ Lie algebra. Using the known relations between the staggered six-vertex model and the antiferromagnetic Potts model, this mapping allows us to study the latter model using tools from integrability. We show that there is a simple interpretation of one of the known K-matrices of the $D_2^2$ model in terms of Temperley-Lieb algebra generators, and use this to present an integrable Hamiltonian that turns out to be in the same universality class as the antiferromagnetic Potts model with free boundary conditions. The intriguing degeneracies in the spectrum observed in related works (arXiv:nlin/0002050 and arXiv:1707.09260) are discussed.
