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)-in variant 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, were produce 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.