Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories

Details Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories Chiral Rings, Vacua and Gaugino Condensation of Supersymmetric Gauge Theories

2003-08-05

arxiv.org/abs/hep-th/0308037v1

JHEP0408:036,2004

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1088/1126-6708/2004/08/036

We find the complete chiral ring relations of the supersymmetric U(N) gauge theories with matter in adjoint representation. We demonstrate exact correspondence between the solutions of the chiral ring and the supersymmetric vacua of the gauge theory. The chiral ring determines the expectation values of chiral operators and the low energy gauge group. All the vacua have nonzero gaugino condensation. We study the chiral ring relations obeyed by the gaugino condensate. These relations are generalizations of the formula $S^N=\Lambda^{3N}$ of the pure ${\cal N} =1$ gauge theory.

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