Wrapped fivebranes and N=2 super Yang-Mills theory

We construct $D=10\mathrm{}$ supergravity solutions corresponding to type IIB fivebranes wrapping a two-sphere in a Calabi-Yau twofold. These are related in the IR to the large N limit of pure $\mathcal{N}=2\mathrm{}$ $\mathrm{SU}\left(N\right)\mathrm{}$ super Yang-Mills theory. We show that the singularities in the IR correspond to the wrapped branes being distributed on a ring. We analyze the dynamics of a probe fivebrane and show that it incorporates the full perturbative structure of the gauge theory. For a class of solutions the two-dimensional moduli space is nonsingular and we match the result for the corresponding slice of the Coulomb branch of the gauge theory.