5d SCFTs from $(E_n,E_m)$ Conformal Matter

Abstract

We determine 5d $\mathcal{N}=1$ SCFTs originating from 6d $(E_n,E_m)$ conformal matter theories with $n\ne m$ by circle reduction and mass deformations. The marginal geometries are constructed and we derive their combined fiber diagrams (CFDs). The CFDs allow for an enumeration of descendant SCFTs obtained by decoupling matter hypermultiplets and a description of candidate weakly coupled quivers.

36 pages, 12 figures

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• (5d RG-flow) Trees in the Tropical Rain Forest
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• On non-supersymmetric fixed points in five dimensions
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers