Abstract
We argue that in Kaluza-Klein supergravity the breaking of the elementary SO(8) [ N=8] symmetry of the round S 7 down to the SO(5)×SO(3) symmetry of the squashed S 7 [ N=1 or N=0] corresponds to a breaking of a composite SU(8) down to either SU(4)×SU(2) [ N=1] or SU(5)×SU(3)×U(1) [ N=0]. We suggest that for N=0 the SO(5)×SO(3) acts as a confining force yielding bound states of SU(5)×SU(3)×U(1). By demanding that the effective bound state theory be both anomaly free and asymptotically free (in the SU(8) sense), we find with the standard SU(5) embedding a fermion spectrum with 4 generations of ( 5 ∗+10 ) together with a realistic Higgs sector.
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