Duality and Yang–Mills fields on quaternionic Kähler manifolds

DOI10.1063/1.529501zbMath0729.53033OpenAlexW2022260474MaRDI QIDQ3353736

Yat Sun Poon, Krzysztof Galicki

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529501

zbMATH Keywords

quaternionic Kähler manifoldYang-Mills functionalself-dual connectionmonopole-like equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\), Unnamed Item, Generalized magnetic monopoles over contact manifolds, A generalization of the notion of instanton, The twistor sections on the Wolf spaces, Yang-Mills flow on special-holonomy manifolds, Representation theory and ADHM-construction on quaternion symmetric spaces, Quaternionic maps between quaternionic Kähler manifolds, Rigidity of c1-self-dual connections on quaternionic Kähler manifolds, Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds, Intersecting brane geometries, Special geometries associated to quaternion-Kähler 8-manifolds

Cites Work

• Some comments on the ADHM construction in 4k dimensions
• Hyper-Kähler metrics and a generalization of the Bogomolny equations
• Construction of instantons
• Complex and quaternionic analyticity in chiral and gauge theories. I
• Quaternionic Kaehler manifolds
• Yang-Mills fields on quaternionic spaces