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 preserving 14 of the spacetime supersymmetry. We construct the corresponding solutions of the effective supergravity theory for p = 1,4, and show that no such solution exists for p = 8.