Trifectas for $T_N$ in 5d

5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities

Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain residual terminal singularities and/or 3-cycles. We focus on a certain class of `trinion' singularities which exhibit these properties. In Type IIB, they give rise to 4d $\mathcal{N}=2$ SCFTs that we call $D_p^b(G)$-trinions, which are marginal gaugings of three SCFTs with $G$ flavor symmetry. In order to understand the 5d physics of these trinion singulariti…

五维三重子和四重子

5d Trinions and Tetraons

本文提出五维超对称场论的原子分类方案，利用不可分解的构建块生成大类五维超对称场论。通过M理论几何工程构造出具有D型味对称性的五维三重子和四重子，并探讨其非线性广义有向图及奇异几何结构。

用于 $5d$ 秩 1 $E_{N_f+1}$ SCFT 的 $3d$ 紧化的 Trinions

Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs

本文研究了秩 $1$ $5d$ Seiberg $E_{N_f+1}$ SCFT 在亏格 $g>1$ 黎曼曲面上的 $3d$ 紧化，基于高维紧化进展推测了对应三穿孔球面约化的 $3d$ $\mathcal{N}=2$ 理论，并通过性质对比验证了其有效性。

Sequences of $6d$ SCFTs on generic Riemann surfaces

We consider compactifications of $6d$ minimal $(D_{N+3},D_{N+3})$ type conformal matter SCFTs on a generic Riemann surface. We derive the theories corresponding to three punctured spheres (trinions) with three maximal punctures, from which one can construct models corresponding to generic surfaces. The trinion models are simple quiver theories with $\mathcal{N}=1$ $SU(2)$ gauge nodes. One of the three puncture non abelian symmetries is emergent in the IR. The derivation of the trinions proceeds by analyzing RG flows between conformal matter SCFTs with different values of $N$ and relations betw…

陈-西蒙斯-三颈理论：一形式对称性与超共形指标

Chern-Simons-Trinion Theories: One-form Symmetries and Superconformal Indices

本研究针对含$\n=3$陈-西蒙斯矢量多重态的三维理论，分析其超共形指标，发现满足特定能级条件时超对称可增强至$\n=6$，不满足时也存在无穷多$\n=4$红外SCFT，并分析一形式对称性反常与模空间几何信息。