2007/09/30 by K. S. Babu, S. M. Barr, Ilia Gogoladze · 15 citations
Mathematics · Physics and Astronomy · #Degenerate energy levels #Discrete symmetry #Electroweak interaction #Fermion #Geometry #Grand Unified Theory #Homogeneous space #Mathematical physics #Mathematics #Multiplet #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Spectral line #Supersymmetry #Symmetry (geometry) #Symmetry group #hep-ph
paper · pdf · doi:10.1016/j.physletb.2008.01.057
published in Physics Letters B 661(2-3), 124-128 (Elsevier BV) · 11 pages, references added
arxiv created 2007/10/05 · openalex publication_date 2008/02/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Unification based on the group SO(10)3×S3 is studied. Each family has its own SO(10) group, and the S3 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.