Some solutions of the Yang–Mills equations in dimension greater than four

DOI10.1063/1.530267zbMath0780.53057OpenAlexW2033845028MaRDI QIDQ4201680

Tatiana A. Ivanova, Alexander D. Popov

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530267

zbMATH Keywords

gauge fieldsRoughani-Ward equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (3)

The generalized Moyal–Nahm and continuous Moyal–Toda equations ⋮ Gauge theory and the division algebras ⋮ \(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule.

Cites Work

• Some comments on the non-self-dual Nahm equations
• Some comments on the ADHM construction in 4k dimensions
• Hyper-Kähler metrics and a generalization of the Bogomolny equations
• Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
• The classification of monopoles for the classical groups
• ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS
• Nahm's equations and autodual connections
• On the classification of Clifford algebras and their relation to spinors in n dimensions

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