The coset spaces E8/SO(10) × HFallow complex structures which can account for three quark-lepton generations including right-handed neutrinos. We show that in the context of supersymmetric SO(10) gauge theories in 6 dimensions they also provide the Higgs fields which are needed to break the electroweak and B - L gauge symmetries, and to generate small neutrino masses via the seesaw mechanism. © 2002 Elsevier Science B.V. All rights reserved.
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