Abstract
We study the phases and geometry of the 
= 1
A2 quiver gauge theory using matrix models and a generalized
Konishi anomaly. We consider the theory both in the Coulomb and
Higgs phases. Solving the anomaly equations, we find that a
meromorphic one-form σ(z)dz is naturally defined on the curve
Σ associated to the theory. Using the Dijkgraaf-Vafa
conjecture, we evaluate the effective low-energy superpotential and
demonstrate that its equations of motion can be translated into a
geometric property of Σ:σ(z)dz has integer periods
around all compact cycles. This ensures that there exists on
Σ a meromorphic function whose logarithm σ(z)dz is the
differential. We argue that the surface determined by this function
is the = 2 Seiberg-Witten curve of the theory.
Export citation and abstract BibTeX RIS