Family Unification from Universality

Details Family Unification from Universality Family Unification from Universality

1999-03-11

arxiv.org/abs/hep-th/9903100v1

Phys.Rev. D60 (1999) 055007

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1103/PhysRevD.60.055007

A direct consequence of the occurrence of fermion families is the invariance of currents under certain groups of (universality) transformations. We show how these universality groups can themselves be used to find and study grand family unification models. Identifying two independent - weak and strong - universality groups and assuming that the grand unification group is SU(8N), its subgroup respecting either weak or strong universality is shown to be G = SU(2)xU(1)xSU(3). The fundamental representation of SU(8N) decomposes as N families of leptons and quarks. In the G-invariant limit, all fermions are left-handed. A mechanism for generating the correct number of right-handed fermions with the correct couplings so as to give pure vector colour and electromagnetic currents is exhibited. Universality is shown to result most naturally from a preonic structure of fermions. In such a preonic picture there are no ultraheavy gauge bosons and no anomaly or hierarchy problem.

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