Superconnection in the spin factor approach to particle physics

Abstract

The notion of superconnection devised by Quillen in 1985 and used in gauge-Higgs field theory in the 1990's is applied to the spin factors (finite-dimensional euclidean Jordan algebras) recently considered as representing the finite quantum geometry of one generation of fermions in the Standard Model of particle physics.

arXiv comment18 pages ; final version to appear in Nuclear Physics B

References in corpus (8)

• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
• Exceptional Lie groups
• Exceptional quantum geometry and particle physics
• The standard model in noncommutative geometry and fermion doubling
• The standard model, the Pati-Salam model, and "Jordan geometry"
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• SO(9) characterisation of the Standard Model gauge group
• A spectral geometry for the Standard Model without the fermion doubling

Cited by in corpus (3)

• One generation of standard model Weyl representations as a single copy of $\mathbb{R}\otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}$
• Octonion Internal Space Algebra for the Standard Model
• Superselection of the weak hypercharge and the algebra of the Standard Model