Some Yang–Mills fields constructed from Maxwell fields

DOI10.1063/1.525862zbMath0514.58023OpenAlexW1973728735MaRDI QIDQ3660567

P. A. Hogan

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525862

zbMATH Keywords

Maxwell's equationsMaurer-Cartan equationsStiefel bundlesHopf bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Constructive quantum field theory (81T08) Geometric quantization (53D50) Connections (general theory) (53C05)

Cites Work

• Universal connections
• Canonical connections on Riemannian symmetric spaces and solutions to the Einstein–Yang–Mills equations
• Natural connections on Stiefel bundles are sourceless gauge fields
• Existence of Universal Connections

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