离散全纯仿费米子与可积圈模型
Discretely Holomorphic Parafermions and Integrable Loop Models
摘要：
我们定义在各种格环模型，包括例子，没有Kramers-Wannier对偶性。对于一个特定的菱形嵌入的晶格在平面上和一个值的parafermionic自旋这些变量是离散全纯的（他们满足一个晶格版本的柯西-黎曼方程），只要玻尔兹曼权重满足一定的线性约束。在所考虑的情况下，权重也满足临界杨-巴克斯特方程，谱参数与基本菱形的角度线性相关。
英文摘要：
We define parafermionic observables in various lattice loop models, including examples where no Kramers-Wannier duality holds. For a particular rhombic embedding of the lattice in the plane and a value of the parafermionic spin these variables are discretely holomorphic (they satisfy a lattice version of the Cauchy-Riemann equations) as long as the Boltzmann weights satisfy certain linear constraints. In the cases considered, the weights then also satisfy the critical Yang-Baxter equations, with the spectral parameter being related linearly to the angle of the elementary rhombus.
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