论文标题
$ \ mathbf {3d} $ $ \ $ \ mathbf {\ mathcal {n} = 4} $ Quiver仪表理论 - 反转和完整的Moduli空间
Hasse Diagrams for $\mathbf{3d}$ $\mathbf{\mathcal{N}=4}$ Quiver Gauge Theories -- Inversion and the full Moduli Space
论文作者
论文摘要
我们研究了$ \ mathrm {3D} $ $ $ \ MATHCAL {N} = 4 $ Quiver仪表理论的$ \ Mathrm {3D} $ \ Mathrm {3D}的Hasse图。这项工作的目的是双重的：1）我们介绍了倒置哈斯图的概念，并猜测库仑分支和希格斯分支分支分支在某些理论中通过此操作相关。 2）我们介绍了Hasse图，以绘制理论的整个模量空间，包括库仑，希格斯和混合分支。对于Higgs和Coulomb Branch Hasse图的理论是通过反演相关的，它直接生成整个模量空间的Hasse图。我们应用Higgs分支Hasse图的反转，以获取不良理论的Coulomb分支Hasse图，并获得与文献一致的结果。对于Higgs和Coulomb Branch Hasse图的理论与反演无关，因此可以使用不同的方法生成完整模量空间的Hasse图。我们提供了\ emph {增强}库仑分支的整个模量空间的hasse图。
We study Hasse diagrams of moduli spaces of $\mathrm{3d}$ $\mathcal{N}=4$ quiver gauge theories. The goal of this work is twofold: 1) We introduce the notion of inverting a Hasse diagram and conjecture that the Coulomb branch and Higgs branch Hasse diagrams of certain theories are related through this operation. 2) We introduce a Hasse diagram to map out the entire moduli space of the theory, including the Coulomb, Higgs and mixed branches. For theories whose Higgs and Coulomb branch Hasse diagrams are related by inversion it is straight forward to generate the Hasse diagram of the entire moduli space. We apply inversion of the Higgs branch Hasse diagram in order to obtain the Coulomb branch Hasse diagram for bad theories and obtain results consistent with the literature. For theories whose Higgs and Coulomb branch Hasse diagrams are not related by inversion it is nevertheless possible to produce the Hasse diagram of the full moduli space using different methods. We give examples for Hasse diagrams of the entire moduli space of theories with \emph{enhanced} Coulomb branches.
