The M-theory interpretation of certain D = 10 IIA p-branes implies the
existence of worldvolume Kaluza-Klein modes which are expected to app
ear as O-brane/p-brane bound states preserving 1/4 of the spacetime su
persymmetry. We construct the corresponding solutions of the effective
supergravity theory for p = 1,4, and show that no such solution exist
s for p = 8.