  We consider the most general SU(3) singlet space of gauged N=8 supergravity
in four-dimensions. The SU(3)-invariant six scalar fields in the theory can be
viewed in terms of six real four-forms. By exponentiating these four-forms, we
eventually obtain the new scalar potential. For the two extreme limits, we
reproduce the previous results found by Warner in 1983. In particular, for the
N=1 G_2 critical point, we find the constraint surface parametrized by three
scalar fields on which the cosmological constant has the same value. We obtain
the BPS domain-wall solutions for restricted scalar submanifold. We also
describe the three-dimensional mass-deformed superconformal Chern-Simons matter
theory dual to the above supersymmetric flows in four-dimensions.
