Standard-model particles and interactions from field equations on spin   9+1 dimensional space
  We consider a Dirac equation set on an extended spin space that contains fermion and boson solutions. At given dimension, it determines the scalar symmetries. The standard field equations can be equivalently written in terms of such degrees of freedom, and are similarly constrained. At 9+1 dimensions, the SU(3) X SU(2)_L X U(1) gauge groups emerge, as well as solution representations with quantum numbers of related gauge bosons, leptons, quarks, Higgs-like particles and others as lepto-quarks. Information on the coupling constants is also provided; e. g., for the hypercharge g'=(1/2) sqrt(3/5) ~ >.387, at tree level. 
J. Besprosvany