摘要翻译：
利用Baxter的$q_{72}$-算子方法，我们证明了广义$\tau{（2）}$-模型（除了两个具有伪真空态的特例）与具有两个交替垂直速度的$n$态手征Potts模型之间的等价理论，其中包括退化模型。因此，与循环表示($varsigma$)$u_{sf q}(sl_2)$具有$varsigma^n=1$对于奇数$n$来说，$varsigma^n=1$)有关的XXZ链模型的理论被证明为具有两个超可积垂直快速性的手征Potts模型，或者($varsigma^n\neq1$)对于星三角关系的自对偶解的退化模型。在所有这些辨识中，手征Potts模型（包括退化模型）的转移矩阵$T，\Hat{T}$作为相应的$Tau^(2)}$-模型的$Q_R，Q_L$-算子，从而使函数关系与可解的$N$态手征Potts模型中的函数关系相同。
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英文标题：
《On the Equivalent Theory of the Generalized \tau^{(2)}-model and the
  Chiral Potts Model with two Alternating Vertical Rapidities》
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作者：
Shi-shyr Roan
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：High Energy Physics - Theory        高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics        物理学
二级分类：Mathematical Physics        数学物理
分类描述：Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
这一类别的文章集中在说明数学在物理问题中的应用的研究领域，为这类应用开发数学方法，或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣；主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics        数学
二级分类：Mathematical Physics        数学物理
分类描述：math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
math.mp是math-ph的别名。这一类别的文章集中在说明数学在物理问题中的应用的研究领域，为这类应用开发数学方法，或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣；主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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一级分类：Physics        物理学
二级分类：Exactly Solvable and Integrable Systems        精确可解可积系统
分类描述：Exactly solvable systems, integrable PDEs, integrable ODEs, Painleve analysis, integrable discrete maps, solvable lattice models, integrable quantum systems
精确可解系统，可积偏微分方程，可积偏微分方程，Painleve分析，可积离散映射，可解格模型，可积量子系统
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英文摘要：
  By the Baxter's $Q_{72}$-operator method, we demonstrate the equivalent theory between the generalized $\tau^{(2)}$-model (other than two special cases with a pseudovacuum state) and the $N$-state chiral Potts model with two alternating vertical rapidities, where the degenerate models are included. As a consequence, the theory of the XXZ chain model associated to cyclic representations (with the parameter $\varsigma$) of $U_{\sf q}(sl_2)$ with ${\sf q}^N=1$ for odd $N$ is identified with either (for $\varsigma^N=1$) the chiral Potts model with two superintegrable vertical rapidities, or (for $\varsigma^N \neq 1$) the degenerate model for the selfdual solution of the star-triangle relation. In all these identifications, the transfer matrices $T, \hat{T}$ of the chiral Potts model (including the degenerate ones) serve as the $Q_R, Q_L$-operators of the corresponding $\tau^{(2)}$-model, so that the functional relations hold as in the solvable $N$-state chiral Potts model.
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PDF链接：
https://arxiv.org/pdf/710.2764