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arxiv:0906.0359

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

Published on Sep 12, 2009
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Abstract

Configurations of 5-branes and 7-branes compactified on a circle yield isolated four-dimensional N=2 superconformal field theories, enabling branch-dimension counting and uniform analysis of E6, E7, and E8 flavor symmetries via quiver limits.

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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.

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