Are there any new vacua of gauged N=8 supergravity in four dimensions?

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, G₂ 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 ChernSimons matter theory dual to the above supersymmetric flows in four dimensions.