  Cosmic super-strings interact generically with a tower of relatively light
and/or strongly coupled Kaluza-Klein (KK) modes associated with the geometry of
the internal space. In this paper, we study the production of spin-2 KK
particles by cusps on loops of cosmic F- and D-strings. We consider cosmic
super-strings localized either at the bottom of a warped throat or in a flat
internal space with large volume. The total energy emitted by cusps in KK modes
is comparable in both cases, although the number of produced KK modes may
differ significantly. We then show that KK emission is constrained by the
photo-dissociation of light elements and by observations of the diffuse gamma
ray background. We show that this rules out regions of the parameter space of
cosmic super-strings that are complementary to the regions that can be probed
by current and upcoming gravitational wave experiments. KK modes are also
expected to play an important role in the friction-dominated epoch of cosmic
super-string evolution.
