the four derivative terms in the low energy effective action are in complete agreement with field theory expectations.

Recent progress in string theory has lead to a deep and powerful connection between Yang-Mills theory and string theory, something which was expected more than twenty years ago. In particular, according to Maldacena the large $N$ and large ’t Hooft coupling dynamics of Yang-Mills theory is captured by supergravity. This relationship can be motivated by studying a brane in full string theory. One then considers a low energy limit which decouples the field theory from gravity, and at the same time one considers the near horizon limit of the corresponding supergravity solution.

In this paper, we study the low energy limit of ${\cal N}=2$ super Yang-Mills theory, by realizing it as the world volume theory on a Dirichlet three brane moving near seven branes, that is, threebranes in F theory. In this way we provide an alternative field theory interpretation which is obtained by probing with this brane the near horizon supergravity solutions. We begin by identifying the exact effective complex coupling of the low energy field theory with the complex coupling of type IIB supergravity. The remaining supergravity equations then determine 