Chiral rings and phases of supersymmetric gauge theories

@inproceedings{Cachazo2003ChiralRA,
  title={Chiral rings and phases of supersymmetric gauge theories},
  author={Freddy Alexander Cachazo and Nathan Seiberg and Edward H Witten},
  year={2003}
}
We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture emerges involving a description by a meromorphic one-form on a Riemann surface. The equations of motion are equivalent to a condition on the integrality of periods of this form. The solution indicates that all semiclassical phases with the same number of U(1) factors are continuously connected. 

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