Family unification with SO(10)

摘要

Unification based on the group SO(10)(3) x S-3 is studied. Each family has its own SO(10) group, and the S-3 permutes the three families and SO(10) factors. This is the maximal local symmetry for the known fermions. Family unification is achieved in the sense that all known fermions are in a single irreducible multiplet of the symmetry. The symmetry suppresses SUSY flavor changing effects by making all squarks and sleptons degenerate in the symmetry limit. Doublet-triplet splitting can arise simply, and non-trivial structure of the quark and lepton masses emerges from the gauge symmetry, including the "doubly lopsided" form. (C) 2008 Elsevier B.V. All rights reserved.