  Deformation of N=2 quiver gauge theories by adjoint masses leads to fixed
manifolds of N=1 superconformal field theories. We elaborate on the role of the
complex three-form flux in the IIB duals to these fixed point theories,
primarily using field theory techniques. We study the moduli space at a fixed
point and find that it is either the two (complex) dimensional ALE space or
three-dimensional generalized conifold, depending on the type of three-form
flux that is present. We describe the exactly marginal operators that
parameterize the fixed manifolds and find the operators which preserve the
dimension of the moduli space. We also study deformations by arbitrary
superpotentials W(\Phi_i) for the adjoints. We invoke the a-theorem to show
that there are no dangerously irrelevant operators like Tr\Phi_i^{k+1}, k>2 in
the N=2 quiver gauge theories. The moduli space of the IR fixed point theory
generally contains orbifold singularities if W(\Phi_i) does not give a mass to
the adjoints. Finally we examine some nonconformal N=1 quiver theories. We find
evidence that the moduli space at the endpoint of a Seiberg duality cascade is
always a three-dimensional generalized conifold. In general, the low-energy
theory receives quantum corrections. In several non-cascading theories we find
that the moduli space is a generalized conifold realized as a monodromic
fibration.
