发表机构
Meiji Gakuin University（明治学院大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究n≥2时(A₂,D_{3n−2}) Argyres–Douglas理论的SCFT/VOA对应，提出相关VOA为对数二重态代数𝒜(4n−2)，推广n=2的结果并构造对应3d理论，验证其超对称与分支结构。
AI 中文摘要
我们研究n≥2时(A₂,D_{3n−2}) Argyres–Douglas理论的SCFT/VOA对应。从中心荷匹配、Schur指标与真空超特征的各阶相等性，我们提出相关的VOA是Feigin、Feigin与Tipunin提出的对数二重态代数𝒜(4n−2)。n=2时Buican和Nishinaka已详细研究该对应，我们的提议将其推广至n≥3。利用真空超特征的Nahm和表达式，我们进一步提出一族3d 𝒩=2阿贝尔陈-西蒙斯物质理论，其流对应R-扭曲圆约化得到的3d 𝒩=4 SCFT，推广了n=2的构造。我们确定了单极超势，证明对任意n，库仑分支为ℂ²/ℤ₂。超共形指标为提出的红外不动点提供了定量证据，包括预期的𝒩=4超对称增强及希格斯、库仑分支结构。
英文摘要
We study the SCFT/VOA correspondence for the $(A_2,D_{3n-2})$ Argyres--Douglas theories with $n\geq2$. From the matching of the central charges and the equality of the Schur index with the vacuum supercharacter to all orders, we propose that the associated VOA is the logarithmic doublet algebra $\mathcal A(4n-2)$ of Feigin, Feigin, and Tipunin. For $n=2$, this correspondence was studied in detail by Buican and Nishinaka, and our proposal extends it to $n\geq3$. Using the Nahm sum expression for the vacuum supercharacter, we further propose a family of 3d $\mathcal N=2$ abelian Chern--Simons matter theories that flow to the 3d $\mathcal N=4$ SCFTs obtained by the R-twisted circle reduction, generalizing the $n=2$ construction. We determine the monopole superpotential and show that the Coulomb branch is $\mathbb C^2/\mathbb Z_2$ for every $n$. The superconformal index provides quantitative evidence for the proposed infrared fixed points, including the expected enhancement to $\mathcal N=4$ supersymmetry and the Higgs and Coulomb branch structure.
Comments42 pages
