Applications of the Ashtekar gravity to four-dimensional hyperkähler geometry and Yang–Mills instantons

DOI10.1063/1.532169zbMath0891.53020arXivhep-th/9610069OpenAlexW3121281003MaRDI QIDQ4378327

Yoshitake Hashimoto, Takayoshi Ootsuka, Yukinori Yasui, Sayuri Miyagi

Publication date: 6 July 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9610069

zbMATH Keywords

instantons4-manifoldshyper-Kähler geometryYang-Mills connectionsAshtekar gravity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Cites Work

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• ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS
• Killing vectors in self-dual, Euclidean Einstein spaces
• Reductions of self-dual Yang-Mills fields and classical systems
• Self-dual gravity and the chiral model
• The symmetry structure of the anti-self-dual Einstein hierarchy