Holonomy groups, complex structures and \(D=4\) topological Yang-Mills theory

DOI10.1007/BF02352500zbMath0776.53019MaRDI QIDQ1180982

A. Galperin, O. V. Ogievetskij

Publication date: 27 June 1992

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

zbMATH Keywords

supersymmetryDolbeault groupsDonaldson map

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (10)

\(N=2\) topological Yang-Mills theory on compact Kähler surfaces ⋮ Topological quantum field theory in quaternionic geometry ⋮ Topological Yang-Mills theory with two fermionic charges. A superfield approach on Kähler manifolds ⋮ Correlation functions in topological Yang-Mills theory with two fermionic charges ⋮ Holomorphic Yang-Mills theory on compact Kähler manifolds ⋮ Chiral algebra, localization, modularity, surface defects, and all that ⋮ Topological matter in four dimensions ⋮ Gravity dual of two-dimensional \(\mathcal{N}=(2,2)^{\ast}\) supersymmetric Yang-Mills theory and integrable models ⋮ Infinite conformal algebras in supersymmetric theories on four-manifolds ⋮ BRST detour quantization: Generating gauge theories from constraints

Cites Work

• Geometry of anti-self-dual connections and Kuranishi map
• Topological quantum field theory
• An instanton-invariant for 3-manifolds
• Spontaneous supersymmetry breaking in nonminimal \(N=2\) Maxwell multiplets self-couplings

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