ON OCTONIONIC GRAVITY, EXCEPTIONAL JORDAN STRINGS AND NONASSOCIATIVE TERNARY GAUGE FIELD THEORIES

DOI10.1142/S0219887812500211zbMath1267.81240OpenAlexW1981403287MaRDI QIDQ2911892

Carlos Castro

Publication date: 3 September 2012

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

Full work available at URL: https://doi.org/10.1142/s0219887812500211

zbMATH Keywords

membranesoctonionsexceptional groupsnonassociative geometrygrand unificationternary algebrasexceptional Jordan algebrasLie 3-algebrasnonassociative gauge theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of quantum field theory in general relativity and gravitational theory (83C47) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (9)

Nonassociative generalization of supersymmetry ⋮ Freudenthal gauge theory ⋮ Physical quantities and spatial parameters in the complex octonion curved space ⋮ Generalised split octonions and their transformation in \(\mathrm{SO}(7)\) symmetry ⋮ Four interactions in the sedenion curved spaces ⋮ Color confinement and spatial dimensions in the complex-sedenion space ⋮ Exceptional Jordan matrix models, octonionic strings/branes and star product deformations ⋮ Reconstruction of symmetric Dirac–Maxwell equations using nonassociative algebra ⋮ Role of division algebra in seven-dimensional gauge theory

Cites Work

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• Noncommutative differential geometry of matrix algebras
• On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
• An extension of quaternionic metrics to octonions
• The octonions
• General Relativity

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