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.

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

References in corpus (3)

• S-duality in N=2 supersymmetric gauge theories
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Six-dimensional D_N theory and four-dimensional SO-USp quivers

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