标题： 三维超对称增强和从四维得到的非半单拓扑量子场论 显示英文标题

标题： 3d SUSY enhancement and non-semisimple TQFTs from four dimensions

摘要： 最近的研究表明，著名的SCFT$_4$/VOA$_2$对应可以通过来自特定R对称性扭曲圆环约化的三维场理论来连接。 我们将这种扭曲约化应用于4d$\mathcal{N}=2$阿格里尔斯-道格拉斯SCFT的$(A_1,A_{n})$和$(A_1,D_{n})$家族，使用它们的$\mathcal{N}=1$阿加瓦尔-马鲁约希-宋拉格朗日量。 从$(A_1,A_{2n})$我们推导出 Gang-Kim-Stubbs 的 3d$\mathcal{N}=2$规范理论家族，在红外中具有 SUSY 增强到$\mathcal{N}=4$，推广了最近在特殊情况下$n=1,2$的推导。这些理论的拓扑扭曲已知可以产生$semisimple$TQFTs，在全纯边界上支持$rational$VOAs。 从$(A_1,A_{2n-1})$，$(A_1,D_{2n+1})$和$(A_1,D_{2n})$，我们得到三个新的三维$\mathcal{N}=2$阿贝尔规范理论的无限族，所有这些理论都有单极子超势能，流向$\mathcal{N}=4$SCFTs，没有克莱因分支，但具有与四维父理论相同的非平凡希格斯分支。 它们的拓扑A扭变给出与$logarithmic$VOA相关的$non$-$semisimple$TQFT，例如$\widehat{\mathfrak{su}}(2)_{-4/3}$。 显示英文摘要

摘要： It has been recently shown that the celebrated SCFT$_4$/VOA$_2$ correspondence can be bridged via three-dimensional field theories arising from a specific R-symmetry twisted circle reduction. We apply this twisted reduction to the $(A_1,A_{n})$ and $(A_1,D_{n})$ families of 4d $\mathcal{N}=2$ Argyres-Douglas SCFTs using their $\mathcal{N}=1$ Agarwal-Maruyoshi-Song Lagrangians. From $(A_1,A_{2n})$ we derive the Gang-Kim-Stubbs family of 3d $\mathcal{N}=2$ gauge theories with SUSY enhancement to $\mathcal{N}=4$ in the infrared, generalizing a recent derivation made in the special cases $n=1,2$. Topological twists of these theories are known to yield $semisimple$ TQFTs supporting $rational$ VOAs on holomorphic boundaries. From $(A_1,A_{2n-1})$, $(A_1,D_{2n+1})$, and $(A_1,D_{2n})$, we obtain three new infinite families of 3d $\mathcal{N}=2$ abelian gauge theories, all with monopole superpotentials, flowing to $\mathcal{N}=4$ SCFTs without Coulomb branch, but with the same non-trivial Higgs branch as the four-dimensional parent. Their topological A-twist yields $non$-$semisimple$ TQFTs related to $logarithmic$ VOAs such as $\widehat{\mathfrak{su}}(2)_{-4/3}$.