  Within gauge/gravity duality, we compute the scalar and tensor mass spectrum
in the boundary theory defined by the five-dimensional sigma-model coupled to
gravity obtained by constraining to eight scalars the truncation on T$^{1,1}$
that corresponds to the Papadopoulos-Tseytlin (PT) ansatz. We study
fluctuations around the 1-parameter family of backgrounds that lift to the
baryonic branch of the Klebanov-Strassler (KS) system, and interpolates between
the KS background and the Maldacena-Nunez one (CVMN). We adopt a gauge
invariant formalism in the treatment of the fluctuations that we interpret as
states of the dual theory. The tensor spectrum interpolates between the
discrete spectrum of the KS background and the continuum spectrum of the CVMN
background, in particular showing the emergence of a finite energy range
containing a dense set of states, as expected from dimensional deconstruction.
The scalar spectrum shows analogous features, and in addition it contains one
state that becomes parametrically light far from the origin along the baryonic
branch.
