We present an intuitive diagrammatic representation of a new class of integrable σ-models. It is shown that to any given diagram corresponds an integrable theory that couples N WZW models with a certain number of each of the following four fundamental integrable models, the PCM, the YB model, both based on a group G, the isotropic σ-model on the symmetric space $G/H$ and the YB model on the symmetric space $G/H$. To each vertex of a diagram we assign the matrix of one of the aforementioned fundamental integrable theories. Any two vertices may be connected with a number of lines having an orientation and carrying an integer level $k_i$. Each of these lines is associated with an asymmetrically gauged WZW model at an arbitrary level $k_i$. Gauge invariance of the full action is translated to level conservation at the vertices. We also show how to immediately read from the diagrams the corresponding σ-model actions. The most generic of these models depends on at least $n^2+1$ parameters, where n is the total number of vertices/fundamental integrable models. Finally, we discuss the case where the level conservation at the vertices is relaxed and the case where the deformation matrix is not diagonal in the space of integrable models.

我们提出了新型可积σ模型的直观图示。结果表明，对任何给定的图对应的积理论耦合Ñ WZW模型具有一定数目的每个以下四个基本积模型的，在PCM中，YB模型中，基于一组G ^，各向同性σ -model在对称空间上$G/H$ 和对称空间上的YB模型 $G/H$。我们为图的每个顶点分配了上述基本可积理论之一的矩阵。任意两个顶点可以与多条具有方向并承载整数级的线连接${ķ}_{\mathrm{一世}}$。这些线中的每条线都与任意级别的非对称测量WZW模型相关联${ķ}_{\mathrm{一世}}$。完整动作的规范不变性转化为顶点处的水平守恒。我们还将展示如何立即从图中读取相应的σ模型动作。这些模型中最通用的至少取决于${ñ}^2+\mathrm{1个}$参数，其中n是顶点/基本可积模型的总数。最后，我们讨论了在可积模型空间中顶点处的水平守恒被放宽的情况以及变形矩阵不是对角线的情况。