Standard model fermions and K (E10)

  title={Standard model fermions and K (E10)},
  author={Axel Kleinschmidt and Hermann Nicolai},
  journal={Physics Letters B},
Abstract In recent work [1] it was shown how to rectify 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 remaining after the removal of eight Goldstinos, by deforming the residual U(1) symmetry at the SU(3) × U(1) stationary point of N = 8 supergravity, so as to also achieve agreement of the electric charge assignments. In this Letter we show that the required deformation, while not in SU(8… Expand
Standard Model Fermions and Infinite-Dimensional R Symmetries.
This 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(E_{10}) of the conjectured maximal duality symmetry E_{10}. Expand
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N ov 2 01 8 On spinorial representations of involutory subalgebras of Kac – Moody algebras ∗
The representation theory of involutory (or ‘maximal compact’) subalgebras of infinite-dimensional Kac–Moody algebras is largely terra incognita, especially with regard to fermionic (double-valued)Expand
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Complexity and the Big Bang
  • H. Nicolai
  • Physics
  • Classical and Quantum Gravity
  • 2021
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