Trifectas for $T_N$ in 5d

Abstract

The trinions $T_N$ are a class of 5d $\mathcal{N}=1$ superconformal field theories (SCFTs) realized as M-theory on ${\mathbb{C}}^3/{\mathbb{Z}}_N\times {\mathbb{Z}}_N$. We apply to $T_N$, as well as closely-related SCFTs that are obtained by mass deformations, a multitude of recently developed approaches to studying 5d SCFTs and their IR gauge theory descriptions. Thereby we provide a complete picture of the theories both on the Coulomb branch and Higgs branch, from various geometric points of view - toric and gluing of compact surfaces as well as combined fiber diagrams - to magnetic quivers and Hasse diagrams.

arXiv comment60 pages, v2: JHEP version

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Cited by in corpus (43)

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• (5d RG-flow) Trees in the Tropical Rain Forest
• Higher Form Symmetries TFT in 6d
• (Symplectic) Leaves and (5d Higgs) Branches in the Poly(go)nesian Tropical Rain Forest
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• Fibrations and Hasse diagrams for 6d SCFTs
• Remarks on Geometric Engineering, Symmetry TFTs and Anomalies
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• Non-Simply-Connected Symmetries in 6D SCFTs
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