The natural spinor connection on \(S_ 8\) is a gauge field

DOI10.1007/BF00398429zbMath0591.53072OpenAlexW2060711111MaRDI QIDQ1074895

Giovanni Landi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00398429

zbMATH Keywords

Euler numberYang-Mills equationsspinor connection8-sphere

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items

Spinor structures on spheres and projective spaces ⋮ Gauge theory and the division algebras ⋮ The geometry of gauge fields ⋮ Brane descent relations in \(K\)-theory

Cites Work

• Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map
• Self-duality in four-dimensional Riemannian geometry
• Quantised singularities in the electromagnetic field,