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arXiv 2204.09682hep-th
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狄拉克对、一种形式对称与Seiberg-Witten几何

Dirac pairings, one-form symmetries and Seiberg-Witten geometries

Philip C. Argyres, Mario Martone, Michael Ray

备注：
v3 - with minor corrections
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摘要：

量子场论的库仑相位，当存在时，阐明了它的线算符和一种形式对称性的分析。对于四维$\mathcal{N}=2$场论，这个阶段的低能物理被编码在库仑真空的模空间的特殊凯勒几何中。我们澄清如何在特殊的凯勒结构编码的信息允许线运营商收费和一种形式的对称性。我们指出了重要的区别之间的晶格的荷电状态和同源格的阿贝尔品种纤维在模空间，其中，当主要极化，自然确定与选择的晶格相互本地线运营商。这一观察阐明了$\mathcal{N}=4$理论的整体形式的不同S-对偶轨道是如何被几何编码的。

英文摘要：

The Coulomb phase of a quantum field theory, when present, illuminates the analysis of its line operators and one-form symmetries. For 4d $\mathcal{N}=2$ field theories the low energy physics of this phase is encoded in the special Kähler geometry of the moduli space of Coulomb vacua. We clarify how the information on the allowed line operator charges and one-form symmetries is encoded in the special Kähler structure. We point out the important difference between the lattice of charged states and the homology lattice of the abelian variety fibered over the moduli space, which, when principally polarized, is naturally identified with a choice of the lattice of mutually local line operators. This observation illuminates how the distinct S-duality orbits of global forms of $\mathcal{N}=4$ theories are encoded geometrically.

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