论文标题
主要手性模型的Yang-Baxter变形以及Wess-Zumino术语
Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
论文作者
论文摘要
主手性模型的一大一类可集成变形，称为杨 - 巴克斯特变形，由偏斜的对称R-Matrices求解（修改）经典的Yang-baxter方程。我们在韦斯 - 祖米诺（Wess-Zumino）术语的存在下对简单的谎言组进行了系统的研究，以在同一基础上处理不均匀和同质变形的框架。在分析了可容纳这种变形的同胞条件之后，我们考虑了主要手性模型的一般杨 - 巴克斯特变形，以及wess-zumino术语的一般性，并证明其经典的一致性。我们还显示了如何从许多替代配方中找到该模型：仿射高丁模型，电子模型，4维的Chern-Simons理论以及对于均匀变形，非亚洲T-二维。
A large class of integrable deformations of the Principal Chiral Model, known as the Yang-Baxter deformations, are governed by skew-symmetric R-matrices solving the (modified) classical Yang-Baxter equation. We carry out a systematic investigation of these deformations in the presence of the Wess-Zumino term for simple Lie groups, working in a framework that treats both inhomogeneous and homogeneous deformations on the same footing. After analysing the cohomological conditions under which such a deformation is admissible, we consider an action for the general Yang-Baxter deformation of the Principal Chiral Model plus Wess-Zumino term and prove its classical integrability. We also show how the model is found from a number of alternative formulations: affine Gaudin models, E-models, 4-dimensional Chern-Simons theory and, for homogeneous deformations, non-abelian T-duality.
