  We construct a family of warped AdS_5 compactifications of IIB supergravity
that are the holographic duals of the complete set of N=1 fixed points of a Z_2
quiver gauge theory. This family interpolates between the T^{1,1}
compactification with no three-form flux and the Z_2 orbifold of the
Pilch-Warner geometry which contains three-form flux. This family of solutions
is constructed by making the most general Ansatz allowed by the symmetries of
the field theory. We use Killing spinor methods because the symmetries impose
two simple projection conditions on the Killing spinors, and these greatly
reduce the problem. We see that generic interpolating solution has a nontrivial
dilaton in the internal five-manifold. We calculate the central charge of the
gauge theories from the supergravity backgrounds and find that it is 27/32 of
the parent N=2, quiver gauge theory. We believe that the projection conditions
that we derived here will be useful for a much larger class of N=1 holographic
RG-flows.
