a unique metric. This supergravity solution corresponds to a sevenbrane background. We then consider introducing a large number $N$ of coincident threebranes into the problem. The supergravity solution for the threebranes plus sevenbranes has the same complex coupling as the pure sevenbrane background. The presence of the threebranes does however deform the geometry and switch on a flux for the self-dual five form. The flux and deformed metric are determined by solving the Laplace equation on the background generated by the sevenbranes. In the large $N$ limit (’t Hooft limit) both curvature and string loop corrections to the background are suppressed. The field theory of interest is then realized as a Born Infeld action describing the worldvolume dynamics of a threebrane probe moving in this geometry. In the supergravity description, we are studying the two-body interaction between the source and probe threebranes. We will thus compare the worldvolume theory of the probe to the low energy effective action for the field theory with gauge group $SU(2)$ as suggested by the work of .

The first example we consider is the theory with $N_{f}=4$ massless flavors. This theory is a finite conformal field theory and as expected the geometry contains an 