Dimer models and toric diagrams
Dimer models and toric diagrams
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发表时间：
2005-03
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通讯作者：
A. Hanany;Kristian D. Kennaway
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作者：
A. Hanany;Kristian D. Kennaway
我们提出了箭袋规范理论和二聚体模型组合之间的对偶性。连接是通过环面图以及与图中的点相关的多重性（其计算环面空间的线性西格玛模型构造中的场的多重性）。这些多重性可以从两侧计算并且在所有已知示例中被发现是一致的。二聚体模型为箭袋规范理论提供了新的见解：例如，它们为环面空间的任意轨道折叠的多重性提供了封闭公式，并允许一种新的算法方法来探索箭袋规范理论的相结构。
We propose a duality between quiver gauge theories and the combinatorics of dimer models. The connection is via toric diagrams together with multiplicities associated to points in the diagram (which count multiplicities of fields in the linear sigma model construction of the toric space). These multiplicities may be computed from both sides and are found to agree in all known examples. The dimer models provide new insights into the quiver gauge theories: for example they provide a closed formula for the multiplicities of arbitrary orbifolds of a toric space, and allow a new algorithmic method for exploring the phase structure of the quiver gauge theory.