论文标题
用八个增压探索类似Seiberg的N-
Exploring Seiberg-like N-alities with Eight Supercharges
论文作者
论文摘要
我们表明，一个3D $ \ MATHCAL {n} = 4 $ QUIVER仪表的大型子类由仅具有基本/双叉质物质的单一和特殊统一量规节点组成，具有多个类似Seiberg的IR双重偶。该子类中的通用箭量$ \ MATHCAL {T} $具有非零数量的平衡特殊统一仪节点，这是盖托托（Gaiotto）理解的一个好理论。我们将此现象称为“ ir n-lite”，而相互IR双重理论集则是与Quiver $ \ Mathcal {t} $相关的“ N-AL集”。从$ \ Mathcal {t} $开始，我们通过逐步实现一组箭量突变来构造一系列偶性，这些箭量突变在局部在仪表节点上作用。然后可以从此双重性序列中读取相关的N-AL理论。 Quiver $ \ MATHCAL {T} $一般具有IR中出现的库仑分支全局对称性，因此IR对称性的等级始终大于UV中可见的等级。我们表明，在N-AL集合中至少存在一个理论，IR对称的等级与紫外线对称性的等级完全匹配。在我们在这项工作中讨论的某些特殊情况下，除正确的等级外，还可以从这种首选理论（或理论）中读取正确的紧密对称代数本身。最后，我们提供了一个配方，用于构建与给定的N-AL集合相关的3D镜，并展示$ \ Mathcal {t} $的新兴库仑分支对称是如何实现为3D镜的UV-Manifest Higgs分支对称的。本文是有关3D $ \ Mathcal {n} = 4 $ Seiberg样偶性的四篇论文系列中的第二篇论文。
We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver $\mathcal{T}$ in this subclass has a non-zero number of balanced special unitary gauge nodes and it is a good theory in the Gaiotto-Witten sense. We refer to this phenomenon as "IR N-ality" and the set of mutually IR dual theories as the "N-al set" associated with the quiver $\mathcal{T}$. Starting from $\mathcal{T}$, we construct a sequence of dualities by step-wise implementing a set of quiver mutations which act locally on the gauge nodes. The associated N-al theories can then be read off from this duality sequence. The quiver $\mathcal{T}$ generically has an emergent Coulomb branch global symmetry in the IR, such that the rank of the IR symmetry is always greater than the rank visible in the UV. We show that there exists at least one theory in the N-al set for which the rank of the IR symmetry precisely matches the rank of the UV symmetry. In certain special cases that we discuss in this work, the correct emergent symmetry algebra itself may be read off from this preferred theory (or theories) in addition to the correct rank. Finally, we give a recipe for constructing the 3d mirror associated with a given N-al set and show how the emergent Coulomb branch symmetry of $\mathcal{T}$ is realized as a UV-manifest Higgs branch symmetry of the 3d mirror. This paper is the second in a series of four papers on 3d $\mathcal{N}=4$ Seiberg-like dualities, preceded by the work [arXiv:2210.04921].
