Embedding Standard Model Symmetries into K(E10)
Krzysztof A. Meissner, Hermann Nicolai · arXiv (Cornell University) · 2018
Following up on our earlier work where we showed how to amend a scheme originally proposed by M. Gell-Mann to identify the 48 spin 1/2 fermions of N=8 supergravity that remain after complete breaking of N=8 supersymmetry with the 48 quarks and leptons of the Standard Model, we further generalize the construction to account for the full SU(3)_c x SU(2)_w x U(1)_Y assignments, with an additional family symmetry SU(3)_f which does not commute with the electroweak symmetries. Our proposal relies in an essential way on embedding the SU(8) R-symmetry of N=8 supergravity into the `maximal compact' subgroup K(E10) of the conjectured duality symmetry E10 of M theory. As a by-product, it predicts fractionally charged and strongly interacting massive gravitinos.