网络，簇坐标和N=2理论I
Network, Cluster coordinates and N=2 theory I
摘要：
利用组合方法求出了平坦联络的模空间的簇坐标，该空间描述了在穿孔Riemann曲面上紧致化六维（2，0）理论得到的高阶N=2理论的库仑分支.构造开始于穿孔黎曼曲面的三角剖分和所有三角形的进一步镶嵌。镶嵌用于构建一个二分网络，从中可以直接读取一个字符串。我们证明了不同三角剖分的颤动相关的突变和证明，这些是真正的集群坐标。这些坐标对于研究这些理论的BPS壁穿越、线算符和面算符是重要的，对于探索三维Chern-Simons理论和相应的N=2规范理论、二维可积系统等也是有用的。
英文摘要：
Combinatorial methods are developed to find the cluster coordinates for moduli space of flat connections which is describing the Coulomb branch of higher rank N=2 theories derived by compactifying six dimensional (2,0) theory on a punctured Riemann surface. The construction starts with a triangulation of the punctured Riemann surface and a further tessellation of all the triangles. The tessellation is used to construct a bipartite network from which a quiver can be read straightforwardly. We prove that the quivers for different triangulations are related by quiver mutations and justify that these are really the cluster coordinates. These coordinates are important in studying BPS wall crossing, line operators, and surface operators of these theories; and they are also useful in exploring three dimensional Chern-Simons theory and the corresponding N=2 gauge theory, two dimensional integrable system, etc.}
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