Instantons and Kähler manifolds

DOI10.1007/BF01196932zbMath0406.58007OpenAlexW1796249261MaRDI QIDQ1257722

A. M. Perelomov

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01196932

zbMATH Keywords

Kaehler ManifoldCauchy- Riemann EquationsEuclidean Chiral Models of the Field TheoryInstanton Solutions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Solitary waves for incompressible inviscid fluids (76B25) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (10)

Generalizations of Cauchy-Riemann equations ⋮ Quasiconformal instantons ⋮ NONLINEAR SIGMA MODEL ON CONIFOLDS ⋮ Reduction of two-dimensional \(G\)-invariant \(\sigma\)-models ⋮ Complex and quaternionic analyticity in chiral and gauge theories. I ⋮ A new integrable system on the sphere and conformally equivariant quantization ⋮ Pohlmeyer reduction for the \(SU(n)\)-invariant \(SU(n)\)-invariant \(\sigma\)-model ⋮ Instanton-like solutions in chiral models ⋮ Calogero-Moser systems in \(\text{SU}(N)\) Seiberg-Witten theory. ⋮ Nonperturbative solutions of string theory in gravitational backgrounds

Cites Work

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• Über kompakte homogene Kählersche Mannigfaltigkeiten
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Scientific report on the second summer institute, several complex variables. Part II. Complex manifolds
• Characteristic Classes and Homogeneous Spaces, I
• Topological currents for arbitrary chiral groups in three space dimensions
• On Algebraic Homogeneous Spaces
• Kählerian Coset Spaces of Semisimple Lie Groups

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