  We consider a class of simplified models of dynamical electroweak symmetry
breaking built in terms of their five-dimensional weakly-coupled gravity duals,
in the spirit of bottom-up holography. The sigma-model consists of two abelian
gauge bosons and one real, non-charged scalar field coupled to gravity in five
dimensions. The scalar potential is a simple exponential function of the scalar
field. The background metric resulting from solving the classical equations of
motion exhibits hyperscaling violation, at least at asymptotically large values
of the radial direction. We study the spectrum of scalar composite states of
the putative dual field theory by fluctuating the sigma-model scalars and
gravity, and discuss in which cases we find a parametrically light scalar state
in the spectrum. We model the spontaneous breaking of the (weakly coupled)
gauge symmetry to the diagonal subgroup by the choice of IR boundary
conditions. We compute the mass spectrum of spin-1 states, and the precision
electroweak parameter S as a function of the hyperscaling coefficient. We find
a general bound on the mass of the lightest spin-1 resonance, by requiring that
the indirect bounds on the precision parameters be satisfied, that implies that
precision electroweak physics excludes the possibility of a techni-rho meson
with mass lighter than several TeV.
