© North-Holland Publishing Company THE PARALLEL IZ ING S 7 TORSION IN GAUGED N ffi 8 SUPERGRAVITY

Using the parallelizing S 7 torsion as an ansatz we investigate wo solutions of gauged N = 8 supergravity with SO(7) invariance. Supersymmetry is uniformly broken. We calculate the masses for these.solutions which are both unstable. Certain apparent discrepancies with the results obtained by spontaneous compactification f d = 11 supergravity are discussed. We establish that the compactification the parallelized S7 has an SO(7) invariancc and clarify the issue of supersymmetry breaking. The lack of stability in d=4 indicates that this d = 11 solution is unstable. 1