Exceptional quantum geometry and particle physics. II

DOI10.1016/j.nuclphysb.2018.12.012zbMath1405.81167arXiv1808.08110OpenAlexW4207044479WikidataQ128750715 ScholiaQ128750715MaRDI QIDQ1710210

Michel Dubois-Violette, Ivan T. Todorov

Publication date: 15 January 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08110

Mathematics Subject Classification ID

Unified quantum theories (81V22) Exceptional Jordan structures (17C40) Strong interaction, including quantum chromodynamics (81V05) Weak interaction in quantum theory (81V15) Clifford algebras, spinors (15A66) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (9)

Superconnection in the spin factor approach to particle physics ⋮ Particle models from special Jordan backgrounds and spectral triples ⋮ Spin(11, 3), particles, and octonions ⋮ Octonionic Clifford algebra for the internal space of the standard model ⋮ The geometry of physical observables ⋮ On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory ⋮ On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model ⋮ SO(9) characterization of the standard model gauge group ⋮ Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras

Cites Work

• Exceptional quantum geometry and particle physics
• Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
• Moufang plane and octonionic quantum mechanics
• The spectral action principle
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• A taste of Jordan algebras
• The geometry of Jordan and Lie structures
• Noncommutative Euclidean spaces
• Gravity and the standard model with neutrino mixing
• Exceptional gauge groups and quantum theory
• Noncommutative differential geometry and new models of gauge theory
• Classical bosons in a non-commutative geometry
• Quark structure and octonions
• The octonions
• Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
• Particle models and noncommutative geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exceptional quantum geometry and particle physics. II