Webs of five-branes and N=2 superconformal field theories

Abstract

We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional N=2 superconformal field theories recently constructed by Gaiotto. Our diagrammatic method allows to easily count the dimensions of Coulomb and Higgs branches, with the help of a generalized s-rule. We furthermore show that superconformal field theories with E6, E7, E8 flavor symmetry can be analyzed in a uniform manner in this framework; in particular we realize these theories at infinitely strongly-coupled limits of quiver theories with SU gauge groups.

arXiv comment35 pages, 20 figures; references added, typos corrected; minor changes and typos corrected

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• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
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• Chiral algebras of class S
• The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs
• Non-Lagrangian Theories from Brane Junctions
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• Magnetic Quivers from Brane Webs with O5 Planes
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• 6d/5d exceptional gauge theories from web diagrams
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• Seiberg-Witten curves with O7${}^{\pm }$-planes
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