SO(9) characterization of the standard model gauge group

DOI10.1063/5.0039941zbMath1459.81127arXiv1912.11282OpenAlexW3130850279MaRDI QIDQ5855658

Kirill V. Krasnov

Publication date: 19 March 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11282

Mathematics Subject Classification ID

Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Spinor and twistor methods applied to problems in quantum theory (81R25) Jordan structures associated with other structures (17C50) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Division algebras and Jordan algebras (17C60)

Related Items (7)

One generation of standard model Weyl representations as a single copy of \(\mathbb{R} \otimes \mathbb{C} \otimes \mathbb{H} \otimes \mathbb{O}\) ⋮ Superconnection in the spin factor approach to particle physics ⋮ Spin(11, 3), particles, and octonions ⋮ Division algebraic symmetry breaking ⋮ Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) ⋮ Octonionic Clifford algebra for the internal space of the standard model ⋮ Complexification of the exceptional Jordan algebra and its application to particle physics

Cites Work

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• Exceptional quantum geometry and particle physics
• Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
• Exceptional quantum geometry and particle physics. II
• Octonions, exceptional Jordan algebra and the role of the group \(F_4\) in particle physics
• Quark structure and octonions
• The octonions
• Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
• Representation ring of Lie group $F_4$

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