论文标题
Argyres的新方面 - 道格拉斯理论及其尺寸降低
New aspects of Argyres--Douglas theories and their dimensional reduction
论文作者
论文摘要
Argyres-Douglas（AD）理论构成了具有多种有趣属性的四个维度的无限超符号理论。我们研究了以$ a $ -type类$ \ Mathcal {s} $进行的AD理论的几个新方面，并具有一项不规则的I型或II型的不规则穿刺，也是常规的穿刺。这些包括共形歧管，希格斯分支的结构，以及来自圆上还原的三维规定理论。后者接受了一个线性颤抖的描述，该线性箭袋具有统一和特殊的统一仪表，以及许多扭曲的超级摩天杆。这些扭曲的超级植物的起源是从四个维度的角度来解释的。我们还提出了此类线性颤动的三维镜像理论。这些提供了所有AD理论的磁颤动的明确描述，该理论与单一量规组的颤抖图一起以及一系列自由的超级超强。本文介绍的许多Quiver仪表理论是新的，并且在文献其他地方尚未研究。
Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in $A$-type class $\mathcal{S}$ with one irregular puncture of Type I or Type II and also a regular puncture. These include conformal manifolds, structures of the Higgs branch, as well as the three dimensional gauge theories coming from the reduction on a circle. The latter admit a description in terms of a linear quiver with unitary and special unitary gauge groups, along with a number of twisted hypermultiplets. The origin of these twisted hypermultiplets is explained from the four dimensional perspective. We also propose the three dimensional mirror theories for such linear quivers. These provide explicit descriptions of the magnetic quivers of all AD theories in question in terms of quiver diagrams with unitary gauge groups, together with a collection of free hypermultiplets. A number of quiver gauge theories presented in this paper are new and have not been studied elsewhere in the literature.
