Flavor Symmetry of 5d SCFTs, Part 1: General Setup

Abstract

A large class of 5d superconformal field theories (SCFTs) can be constructed by integrating out BPS particles from 6d SCFTs compactified on a circle. We describe a general method for extracting the flavor symmetry of any 5d SCFT lying in this class. For this purpose, we utilize the geometric engineering of 5d N=1 theories in M-theory, where the flavor symmetry is encoded in a collection of non-compact surfaces.

113 pages, v2: References added

References in corpus (12)

• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Higher-form symmetries of 6d and 5d theories
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Duality and enhancement of symmetry in 5d gauge theories
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Instantons, Symmetries and Anomalies in Five Dimensions
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Equivalence of several descriptions for 6d SCFT
• Rank-3 antisymmetric matter on 5-brane webs
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories

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• 2-Group Symmetries and M-Theory
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• Higher Form Symmetries TFT in 6d
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Exploring the orthosymplectic zoo
• On non-supersymmetric fixed points in five dimensions
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Symmetry TFTs from String Theory
• OPE of line defects in 5d $E_n$ SCFT
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers