N=2 gauge theories and degenerate fields of Toda theory

Details N=2 gauge theories and degenerate fields of Toda theory N=2 gauge theories and degenerate fields of Toda theory

2009-11-25

arxiv.org/abs/0911.4787v2

Phys.Rev.D81:046004,2010

Physics

High Energy Physics

High Energy Physics - Theory

23 pages,v2: minor corrections,published version

Scientific paper

10.1103/PhysRevD.81.046004

We discuss the correspondence between degenerate fields of the W_N algebra and punctures of Gaiotto's description of the Seiberg-Witten curve of N=2 superconformal gauge theories. Namely, we find that the type of degenerate fields of the W_N algebra, with null states at level one, is classified by Young diagrams with N boxes, and that the singular behavior of the Seiberg-Witten curve near the puncture agrees with that of W_N generators. We also find how to translate mass parameters of the gauge theory to the momenta of the Toda theory.

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