Key points are not available for this paper at this time.
Following up on our earlier work K. A. Meissner and H. Nicolai, Phys. Rev. D 91, 065029 (2015) where we showed how to amend a scheme originally proposed by M. Gell-Mann to identify the 48 spin-12 fermions of N=8 supergravity that remain after complete breaking of N=8 supersymmetry with the 316 quarks and leptons of the standard model, we further generalize the construction to account for the full SU (3) ₂SU (2) ₖ (1) ₘ assignments, with an additional family symmetry SU (3) ₅. Our proposal relies in an essential way on embedding the SU (8) R symmetry of N=8 supergravity into the (infinite-dimensional) ``maximal compact'' subgroup K (E₁₀) of the conjectured maximal duality symmetry E₁₀. As a by-product, it predicts fractionally charged and possibly strongly interacting massive gravitinos. It also indicates how E₁₀ and K (E₁₀) can supersede supersymmetry as a guiding principle for unification.
Meissner et al. (Fri,) studied this question.