Analytic loops and gauge fields

DOI10.1016/S0550-3213(01)00218-8zbMath0969.81599arXivhep-th/0109206MaRDI QIDQ5937796

E. K. Loginov

Publication date: 15 July 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0109206

zbMATH Keywords

nonassociative irreducible representationsself-dual Yang-Mills equationssemisimple Moufang loop

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18)

Related Items (5)

ADVANCES IN TERNARY AND OCTONIONIC GAUGE FIELD THEORIES ⋮ On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification ⋮ On a class of gauge theories ⋮ Octonionic ternary gauge field theories revisited ⋮ Multi-instantons in seven dimensions

Cites Work

• Eight-dimensional self-dual spaces
• Topological quantum field theory
• Special quantum field theories in eight and other dimensions
• Higher dimensional Yang-Mills theories and topological terms.
• Octonionic self-duality for supermembranes
• Malcev Algebras
• Generalized vector products, duality, and octonionic identities in D=8 geometry
• On malcev modules
• On Semisimple Malcev Algebras
• On linear repkesentations of moufang loops
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