Kaluza Klein on the Brane

The M-theory interpretation of certain D=10 IIA p-branes implies the existence of worldvolume Kaluza-Klein modes which are expected to appear as 0-brane/p-brane bound states and hence as solutions of the effective IIA supergravity field equations. We construct these supergravity solutions for $p=1,4,8$. This confirms the current D=11 interpretation of the string and 4-brane, and provides evidence for a previously suggested D=11 9-brane origin for the IIA 8-brane. A similar M-theory interpretation of the IIA 4-brane/8-brane bound states requires the existence of a 5-brane/8-brane bound state, for which we also construct the corresponding supergravity solution.