Discretely holomorphic parafermions and integrable loop models
Discretely holomorphic parafermions and integrable loop models
复制标题
离散全纯参数子和可积环模型
DOI：
10.1088/1751-8113/42/10/102001
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
J. Cardy
中科院分区：
文献类型：
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作者：
Y. Ikhlef;J. Cardy
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。
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.