Gauge field geometry from complex and harmonic analyticities. I: Kähler and self-dual Yang-Mills cases

DOI10.1016/0003-4916(88)90256-4zbMath0643.53066OpenAlexW2043306629MaRDI QIDQ1101985

A. Galperin, Emery Sokatchev, Evgeny A. Ivanov, V. I. Ogievetskij

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90256-4

zbMATH Keywords

prepotentialYang-Mills theoriesKähler potentialhyper-Kähler geometryanalyticity preservation principleharmonic analyticityKähler gravitiessuperfield gauge theories

Mathematics Subject Classification ID

Supergravity (83E50) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80)

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Cites Work

• The theory of H-space
• Supersymmetry and nonlinear \(\sigma\)-models
• Gauge field geometry from complex and harmonic analyticities. II: Hyper- Kähler case
• Construction of instantons
• Unconstrained off-shell N=3 supersymmetric Yang-Mills theory
• Harmonic supergraphs: Feynman rules and examples
• Gauge theories, the holonomy operator, and the Riemann–Hilbert problem
• Unnamed Item