Subleading terms in interactions between branes and supergravity - super Yang-Mills correspondence

We compare long-distance interaction potentials between branes and their bound states in supergravity and in super Yang-Mills descriptions. We first consider the supergravity-SYM correspondence at the level of the leading term in the interaction potential, and then describe some recent results concerning the subleading term and their implications for the structure of the 2-loop F-6 term in the SYM effective action.