Generations: three prints, in colour

DOI10.1007/JHEP10(2014)046zbMath1400.81148arXiv1405.4601WikidataQ55938791 ScholiaQ55938791MaRDI QIDQ271310

Cohl Furey

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4601

zbMATH Keywords

gauge symmetryQCDbeyond standard model

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (13)

One generation of standard model Weyl representations as a single copy of \(\mathbb{R} \otimes \mathbb{C} \otimes \mathbb{H} \otimes \mathbb{O}\) ⋮ Classifying linear operators over the octonions ⋮ Charge quantization from a number operator ⋮ Division algebraic symmetry breaking ⋮ Torques and angular momenta of fluid elements in the octonion spaces ⋮ Octonionic Clifford algebra for the internal space of the standard model ⋮ The unified standard model ⋮ Braids, normed division algebras, and standard model symmetries ⋮ Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra ⋮ A combing algorithm for orientable braided 3-belts ⋮ 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 ⋮ On the problem of choosing subgroups of Clifford algebras for applications in fundamental physics ⋮ Impurity-like solutions in vortex systems coupled to a neutral field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An octonionic formulation of the M-theory algebra
• Chiral symmetry and spectral properties of the Dirac operator in \(G_{2}\) Yang-Mills theory
• Exceptional confinement in G(2) gauge theory
• Division algebras, (pseudo)orthogonal groups and spinors
• Non-commutative geometry, non-associative geometry and the standard model of particle physics
• Quark structure and octonions
• Octonionic representations of GL(8,ℛ) and GL(4,𝒞)
• The octonions
• Division algebras: Family replication
• Particle models and noncommutative geometry

This page was built for publication: Generations: three prints, in colour