Duality and enhancement of symmetry in 5d gauge theories

Abstract

We study various cases of dualities between $\mathcal{N}$$=1$ 5d supersymmetric gauge theories. We motivate the dualities using brane webs, and provide evidence for them by comparing the superconformal index. In many cases we find that the classical global symmetry is enhanced by instantons to a larger group including one where the enhancement is to the exceptional group $G_2$.

arXiv comment38 pages, 19 figures, reference added, minor revisions

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• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• Brane webs and $O5$-planes
• A new 5d description of 6d D-type minimal conformal matter
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• Trifectas for $T_N$ in 5d
• Instanton Operators and the Higgs Branch at Infinite Coupling
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• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
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• Classification of 5d N=1 gauge theories
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• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
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• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• Dualities of 5d gauge theories from S-duality
• Romans Supergravity from Five-Dimensional Holograms
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• 5d fixed points from brane webs and O7-planes
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• 5d SCFTs from $(E_n,E_m)$ Conformal Matter
• Indices for 6 dimensional superconformal field theories
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Fibre-base duality of 5d KK theories
• Topological vertex for Higgsed 5d $T_N$ theories
• 5d SCFTs from Decoupling and Gluing
• Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories
• A note on D0-branes and instantons in 5d supersymmetric gauge theories