Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted A2N theories of class S in four dimensions. Although these quivers bear a resemblance to the star-shaped quivers previously studied in the literature, they contain unitary, symplectic and special orthogonal gauge groups, along with hypermultiplets in the fundamental representation. The vacuum moduli spaces of these quiver theories are studied in detail. The Coulomb branch Hilbert series of the mirror theory can be matched with that of the Higgs branch of the corresponding four dimensional theory, providing a non-trivial check of our proposal. Moreover various deformations by mass and Fayet-Iliopoulos terms of such quiver theories are investigated. The fact that several of them flow to expected theories also gives another strong support for the proposal. Utilising the mirror quiver description, we discover a new supersymmetry enhancement renormalisation group flow.

中文翻译：

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S 类扭曲 A2N 理论的圆缩小的 3d 镜像

镜像对称已被证明是研究高维超共形场理论在压缩为三个维度时的几个特性的有力工具。我们提出了对 S 类扭曲 A2N 理论在四个维度上的圆归约的镜像理论的颤动描述。尽管这些箭袋与文献中先前研究的星形箭袋相似，但它们包含酉、辛和特殊正交规范群，以及基本表示中的超多重。详细研究了这些颤动理论的真空模空间。镜像理论的库仑分支希尔伯特级数可以与相应的四维理论的希格斯分支的库仑分支相匹配，为我们的提议提供了一个重要的检验。此外，研究了这种颤动理论的各种质量变形和 Fayet-Iliopoulos 项。其中一些符合预期理论的事实也为该提案提供了另一个强有力的支持。利用镜像箭袋描述，我们发现了一种新的超对称增强重整化群流。