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Standard model fermions and K(E10) | | Axel Kleinschmidt
; Hermann Nicolai
; | | Date: |
7 Apr 2015 | | 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. | | Source: | arXiv, 1504.1586 | | Services: | Forum | Review | PDF | Favorites | |
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