nonlinear gauge field dependent redefinition to the separation. It is interesting to note that a similar field redefinition is needed to map the linear realization of conformal symmetry in super Yang-Mills theory into the isometry of the Anti de-Sitter spacetime of the supergravity description. We refer the reader to  for the detailed form of the field redefinitions. The result after performing the field redefinitions, in terms of component fields, reads

where we have set $\tau=i{4\pi\over g^{2}}.$ The six derivative terms for the scalars are not displayed since they depend on the arbitrary constant $\lambda^{(6)}$. The value of $\lambda^{(6)}$ as well as the structure of the effective action given above can be checked by explicitly computing instanton corrections to the six derivative terms. We hope to return to this in the near future. Notice that all acceleration terms were eliminated by the field redefinition, something first noted in.

The supergravity background relevant for the study of ${\cal N}=2$ supersymmetric field theory is generated by sevenbranes and a large number of threebranes, i.e. threebranes in F theory. To construct this background it is convenient to start with a solution for the sevenbranes by themselves. The sevenbrane solution is described in terms of 