English

Superconnection in the spin factor approach to particle physics

High Energy Physics - Theory 2020-07-15 v2 Mathematical Physics math.MP Quantum Algebra

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.

Cite

@article{arxiv.2003.06591,
  title  = {Superconnection in the spin factor approach to particle physics},
  author = {Michel Dubois-Violette and Ivan Todorov},
  journal= {arXiv preprint arXiv:2003.06591},
  year   = {2020}
}

Comments

18 pages ; final version to appear in Nuclear Physics B

R2 v1 2026-06-23T14:14:41.755Z