  We present an explicit supersymmetric deformation of supergravity backgrounds
describing D3-branes on Calabi-Yau cones. From the geometrical point of view,
it corresponds to blowing up a 4-cycle in the Calabi-Yau and can be done
universally. In the field theory, we identify this deformation with motion on
non-mesonic directions in the full moduli space of vacua. For the case of a Z_2
orbifold of the conifold, we discuss an explicit gravity solution with two
deformation parameters: one corresponding to blowing up a 2-cycle and one
corresponding to blowing up a 4-cycle. The generic case where the Calabi-Yau is
toric is also discussed in detail. Quite generally, the order parameter of
these 4-cycle deformations is a dimension six operator. We also consider probe
strings which show linear confinement and probe D7 branes which help in
understanding the behavior far in the infrared.
