N=2规范理论：同余子群、陪集图和模曲面
N=2 Gauge Theories: Congruence Subgroups, Coset Graphs and Modular Surfaces
摘要：
我们建立了一个对应的广义的四维规范理论和同余子群的模块组，铰链上的三价图形，出现在这两个。列举了各种规范理论和图形，并对它们的数量进行了比较。对应关系是特别引人注目的属零扭自由同余子群的例子出现在月光。我们详细分析的情况下，指数24，模块化椭圆K3表面出现：在这里，椭圆j-不变量可以被重铸为dessins d 'enfant，这决定了塞伯格-威滕曲线。
英文摘要：
We establish a correspondence between generalized quiver gauge theories in four dimensions and congruence subgroups of the modular group, hinging upon the trivalent graphs which arise in both. The gauge theories and the graphs are enumerated and their numbers are compared. The correspondence is particularly striking for genus zero torsion-free congruence subgroups as exemplified by those which arise in Moonshine. We analyze in detail the case of index 24, where modular elliptic K3 surfaces emerge: here, the elliptic j-invariants can be recast as dessins d'enfant which dictate the Seiberg-Witten curves.
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。
