Chiral Rings and Phases of Supersymmetric Gauge Theories
arXiv:hep-th/0303207 · doi:10.1088/1126-6708/2003/04/018
Abstract
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.
55 pages