Family Unification with SO(10)

Abstract

Unification based on the group SO(10)^3 \times 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.

11 pages, references added

References in corpus (16)

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Cited by in corpus (13)

• The Unique Horizontal Symmetry of Leptons
• An A4 model for lepton masses and mixings
• Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
• Self-interacting dark matter with a vector mediator: kinetic mixing with U(1)${}_{(B-L{)}_3}$ gauge boson
• Right-handed Neutrino Dark Matter in a U(1) Extension of the Standard Model
• Minimal complete tri-hypercharge theories of flavour
• Tri-unification: a separate $SU(5)$ for each fermion family
• Flavour structure of supersymmetric SO(10) GUTs with extended matter sector
• SO(10) models with flavour symmetries: Classification and examples
• Unification of the Standard Model and Dark Matter Sectors in [SU(5)$\times$U(1)]${}^4$
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• $L_{\mu }-L_{\tau }$ effects to quarks and leptons from flavor unification
• Natural neutrino mass hierarchy in a theory of gauge flavour deconstruction