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High Energy Physics - Theory, hep-th,High Energy Physics - Phenomenology, hep-ph
Abstract:
In recent work arXiv:1412.1715 it was shown how to modify Gell-Mann's
proposal for identifying the 48 quarks and leptons of the Standard Model with
the 48 spin-1/2 fermions of maximal SO(8) gauged supergravity that remain after
the removal of eight Goldstinos, by deforming the residual U(1) symmetry at the
SU(3)xU(1) stationary point of N=8 supergravity to also achieve agreement of
the electric charge assignments. In this Letter we show that the required
deformation, while not in SU(8), does belong to K(E10), the `maximal compact'
subgroup of E10 which is a possible candidate symmetry underlying M theory. The
incorporation of infinite-dimensional Kac-Moody symmetries of hyperbolic type,
apparently unavoidable for the present scheme to work, opens up completely new
perspectives on embedding Standard Model physics into a Planck scale theory of
quantum gravity.
