We consider some long multiplets describing bulk massive excitations of M-t
heory two-branes and IIB string three-branes which correspond to 'nonchiral
' primary operators of the boundary OSp(8/4) and SU(2, 2/4) superconformal
field theories. Examples of such multiplets are the 'radial' modes on the b
ranes, including up to spin 4 excitations, which may be then considered as
prototypes of states which are not described by the K-K spectrum of the cor
responding supergravity theories on Ad S-4 x S-7 and Ad S-5 x S-5, respecti
vely.