  We investigate the glueball spectrum of a strongly coupled gauge theory with
two dynamical scales. The main tool is the use of the gauge/gravity duality.
The model we study has a known graviational dual, which arises from a type IIB
D-brane configuration. It exhibits two dynamical scales, separated by a nearly
conformal region. Thus, it is of great interest for the study of walking in
gauge theories. By using the gravitational description, we are able to compute
analytically the glueball mass spectrum in a certain range of the parameter
space of the theory. Within that range, we do not find a light state that could
be associated with a slight breaking of conformal invariance. Finally, we show
that in this model there can be an order of magnitude hierarchy between the
scale of confinement, given by the lowest glueball mass, and the scale of
chiral symmetry breaking, determined by the lowest vector-meson mass.
