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Abstract:
The SU(3)×U(1) invariant stationary point of N = 8 supergravity is described in some detail. This vacuum has N = 2 supersymmetry, and it is shown how the fields of N = 8 supergravity may be collected into multiplets of SU(3)×Osp(2, 4). A new kind of shortened massive multiplet is described, and the multiplet shortening conditions for this and other multiplets are used to determine, by the use of group theory alone, the masses of many of the fields in the vacuum. The remaining masses are determined by explicit calculation. The critical point realizes Gell-Mann's scheme for relating the Image fermions of the theory to the observed quarks and leptons.
