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
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Publication:2047496
DOI10.1007/s00006-021-01136-5zbMath1472.15033OpenAlexW3171131634MaRDI QIDQ2047496
Publication date: 20 August 2021
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-021-01136-5
dark matterClifford algebraHiggs fieldJordan algebrasdivision algebraextension of the standard model
Model quantum field theories (81T10) Exceptional Jordan structures (17C40) Clifford algebras, spinors (15A66) Applications of Jordan algebras to physics, etc. (17C90) Division algebras and Jordan algebras (17C60) Matrix models and tensor models for quantum field theory (81T32) Applications of Clifford algebras to physics, etc. (15A67)
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Cites Work
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- Generations: three prints, in colour
- Charge quantization from a number operator
- Exceptional quantum geometry and particle physics
- A Clifford \(Cl(5, C)\) unified gauge field theory of conformal gravity, Maxwell and \(U(4) \times U(4)\) Yang-Mills in \(4D\)
- Beyond the spectral standard model: emergence of Pati-Salam unification
- The large \(N\) limit of exceptional Jordan matrix models and M, F theory
- Jordan-Lie super algebra and Jordan-Lie triple system
- Magic squares and matrix models of Lie algebras.
- Leptons, quarks, and gauge from the complex Clifford algebra \(\mathbb {C}\ell _6\)
- Exceptional quantum geometry and particle physics. II
- \(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory
- Quantum symmetries: from Clifford and Hurwitz algebras to M-theory and Leech lattices
- Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra
- On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory
- GENERALIZED CONFORMAL AND SUPERCONFORMAL GROUP ACTIONS AND JORDAN ALGEBRAS
- A geometric basis for the standard-model gauge group
- On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
- The algebra of grand unified theories
- Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I.
- An extension of quaternionic metrics to octonions
- Quark structure and octonions
- The octonions
- Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
- E6 Matrix Model
- Division algebras: Family replication
- Spectral Noncommutative Geometry Standard Model and all that
- The magic star of exceptional periodicity
- Sp(4,H) / Z2 Pair Universe in E6 Matrix Models
- A note on Jordan algebras, three generations and exceptional periodicity
