  We will demonstrate how calculations in toric geometry can be used to compute
quantum corrections to the relations in the chiral ring for certain gauge
theories. We focus on the gauge theory of the del Pezzo 2, and derive the
chiral ring relations and quantum deformations to the vacuum moduli space using
Affleck-Dine-Seiberg superpotential arguments. Then we calculate the versal
deformation to the corresponding toric geometry using a method due to Altmann,
and show that the result is equivalent to the deformation calculated using
gauge theory. In an appendix we will apply this technique to a few other
examples. This is a new method for understanding the infrared dynamics of
certain quiver gauge theories.
