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• W2949208879 abstract "Chamseddine and Connes have argued that the for Einstein gravity, coupled to the SU(3)times SU(2)times U(1) standard model of particle physics, may be elegantly recast as the action on a certain non-commutative geometry. In this paper, we show how this formalism may be extended to geometries, and explain the motivations for doing so. As a guiding illustration, we present the simplest non-associative geometry (based on the octonions) and evaluate its spectral action: it describes Einstein gravity coupled to a G_2 gauge theory, with 8 Dirac fermions (which transform as a singlet and a septuplet under G_2). This is just the simplest example: in a forthcoming paper we show how to construct more realistic models that include Higgs fields, spontaneous symmetry breaking and fermion masses." @default.
• W2949208879 created "2019-06-27" @default.
• W2949208879 creator A5044280434 @default.
• W2949208879 creator A5047296137 @default.
• W2949208879 date "2013-03-07" @default.
• W2949208879 modified "2023-09-27" @default.
• W2949208879 title "Non-Associative Geometry and the Spectral Action Principle" @default.
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• W2949208879 hasPublicationYear "2013" @default.
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