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Standard model fermions and K(E10)

MPS-Authors
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Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1504.01586.pdf
(Preprint), 137KB

PLB_747_251.pdf
(Any fulltext), 244KB

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Citation

Kleinschmidt, A., & Nicolai, H. (2015). Standard model fermions and K(E10). Physics Letters B, 747, 251-254. doi:10.1016/j.physletb.2015.06.005.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0026-AC4F-B
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.