ADVANCES IN TERNARY AND OCTONIONIC GAUGE FIELD THEORIES

DOI10.1142/S0217751X11053778zbMath1247.81269OpenAlexW1995737073MaRDI QIDQ2919054

Carlos Castro

Publication date: 2 October 2012

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x11053778

zbMATH Keywords

gauge fieldsoctonionsternary algebras

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Nonassociative division algebras (17A35) Division algebras and Jordan algebras (17C60)

Related Items (3)

Freudenthal gauge theory ⋮ \(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory ⋮ Octonionic ternary gauge field theories revisited

Cites Work

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• Modification of the superstring action and the exceptional Jordan algebra
• Algebraic structures on parallel M2 branes
• Tensor fields of mixed Young symmetry type and \(N\)-complexes
• Noncommutative differential geometry of matrix algebras
• Noncommutative differential geometry and new models of gauge theory
• The cubic chessboard
• The octonions
• Cubic Matrices, Generalized Spin Algebra and Uncertainty Relation
• Analytic loops and gauge fields

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