2020/03/31 by Michel Dubois‐Violette, Michel Dubois-Violette, Иван Тодоров +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Euclidean geometry #Fermion #Gauge (firearms) #Gauge theory #Geometry #Higgs boson #Higgs field #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum field theory #Quantum mechanics #Spin (aerodynamics) #Standard Model (mathematical formulation) #Theoretical physics #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1016/j.nuclphysb.2020.115065
18 pages ; final version to appear in Nuclear Physics B
arxiv created 2020/05/23 · openalex publication_date 2020/06/03 · arxiv updated 2020/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.