5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory

Abstract

We present a number of investigations of 5d $\mathcal{N}=1$ supersymmetric gauge theories that make use of 5-brane web constructions and the 5d superconformal index. These include an observation of enhanced global symmetry in the 5d fixed point theory corresponding to $SU(N)$ gauge theory with Chern-Simons level $\pm N$, enhanced global symmetries in quiver theories, and dualities between quiver theories and non-quiver theories. Instanton contributions play a crucial role throughout.

arXiv comment50 pages, 36 figures; Typos corrected. Version published in JHEP

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• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
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• Hints of 5d Fixed Point Theories from Non-Abelian T-duality
• Discrete theta and the 5d superconformal index
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• Brane webs and $O5$-planes
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• Lecture Notes on Generalized Symmetries and Applications
• Fiber-Base Duality and Global Symmetry Enhancement
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• Magnetic Quivers from Brane Webs with O5 Planes
• Mass-deformed $T_N$ as a linear quiver
• Instantons, Symmetries and Anomalies in Five Dimensions
• (Symplectic) Leaves and (5d Higgs) Branches in the Poly(go)nesian Tropical Rain Forest
• Brane Webs and Magnetic Quivers for SQCD
• Duality walls and defects in 5d N=1 theories
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• Instanton Operators in Five-Dimensional Gauge Theories
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
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• Partition functions of web diagrams with an O7${}^{-}$-plane
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• On non-supersymmetric fixed points in five dimensions
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• 6d/5d exceptional gauge theories from web diagrams
• ABCD of 't Hooft operators
• Fibre-base duality of 5d KK theories
• Surface operators in 5d gauge theories and duality relations
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• S-foldings of 5d SCFTs
• 5d SCFTs from Decoupling and Gluing
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• Supersymmetry Algebra in Super Yang-Mills Theories
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