Sine-Gordon和约化Sine-Gordon Y-系统的双对数恒等式
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
摘要：
本文研究了与含两项的连分数参数的sine-Gordon模型和约化sine-Gordon模型相关的Y-系统和T-系统族。我们制定了这些系统的集群代数，这原来是有限型，并证明其周期性和相关的双对数的身份，已被证明较早。特别是，这提供了种子周期性的新例子。
英文摘要：
We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, which turn out to be of finite type, and prove their periodicities and the associated dilogarithm identities which have been conjectured earlier. In particular, this provides new examples of periodicities of seeds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
