来自穿孔透镜空间的3d $\boldsymbol{\textit{N}=4}$ 秩0 SCFT
3d $\mathcal{N}=$ 4 rank-0 SCFT from punctured lens space
浏览论文内容
中文总结 AI 辅助
该研究从穿孔透镜空间紧致化推导Gang-Kim-Stubbs理论，提出一族3d $\boldsymbol{\textit{N}=2}$阿贝尔规范理论，推测存在自镜像秩0不动点，实现了Virasoro极小模型模张量范畴伽罗瓦轨道的幺正成员。
中文摘要 AI 辅助
Gang-Kim-Stubbs理论$\boldsymbol{\textit{T}_n}$是一种开创性的3d体描述，它将$M(2n+3,2)$Virasoro极小模型在拓扑A扭转下描述为$\boldsymbol{\textit{N}=4}$秩0超共形场论，该理论由一对平行M5膜在去除单个顶点的透镜空间$\boldsymbol{\textit{L}(2n+3,2)}$上的紧致化推导而来。从这一视角出发，我们提出了一族3d $\boldsymbol{\textit{N}=2}$阿贝尔规范理论，它们源于穿孔透镜空间$\boldsymbol{\textit{L}(2n+3,1)}$，其红外相实现了$M(2n+3,2)$模张量范畴伽罗瓦轨道中的幺正成员。我们还从透镜空间的手性条件出发，推测存在自镜像秩0不动点。
英文摘要
{\it Gang-Kim-Stubbs} theory $\mathcal{T}_n$ --- a pioneering 3d bulk description of $M(2n+3,2)$ Virasoro minimal model as $\mathcal{N}=4$ rank-0 superconformal field theory upon topological A-twist --- is derived from the compactification of a pair of parallel M5-branes on {\it lens space} $L(2n+3,2)$ with a single vertex removed. From this perspective, we propose a family of 3d $\mathcal{N}=2$ abelian gauge theories arising from the punctured $L(2n+3,1)$ lens space whose infrared phases realize the unitary member in the Galois orbit of $M(2n+3,2)$ modular tensor category. We also conjecture self-mirror rank-0 fixed points from amphichirality condition of the lens space.
