Construction of instantons

DOI10.1016/0375-9601(78)90141-XzbMath0424.14004OpenAlexW2000288860WikidataQ56020190 ScholiaQ56020190MaRDI QIDQ1134785

Yuri I. Manin, Vladimir Drinfeld, Michael F. Atiyah, Nigel J. Hitchin

Publication date: 1978

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(78)90141-x

zbMATH Keywords

instantons Yang-Mills equations sheaf cohomology groups self-dual euclidean Yang-Mills fields

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Yang-Mills and other gauge theories in quantum field theory (81T13) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Sheaves in algebraic geometry (14F06)

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Segal-Sugawara construction, Framed symplectic sheaves on surfaces, The large $N$ limit of topologically twisted indices: a direct approach, Fibrations and Hasse diagrams for 6d SCFTs, Physics in Riemann’s Mathematical Papers, The gaugino condensate from asymmetric four-torus with twists, A FORMULATION OF THE YANG–MILLS THEORY AS A DEFORMATION OF A TOPOLOGICAL FIELD THEORY BASED ON THE BACKGROUND FIELD METHOD AND QUARK CONFINEMENT PROBLEM, Instantons and Supersymmetry, Real instantons, Dirac operators and quaternionic classifying spaces, q -quaternions and q-deformed su(2) instantons, Twistor Geometry and Gauge Fields, Twistor geometry and gauge fields, THE ADHM CONSTRUCTION OF INSTANTONS ON NONCOMMUTATIVE SPACES, Involutions on the Affine Grassmannian and Moduli Spaces of Principal Bundles, Polylogarithm Identities, Cluster Algebras and the $$\mathcal {N} = 4$$ Supersymmetric Theory, CRYSTAL MELTING AND WALL CROSSING PHENOMENA, Unnamed Item, Algebraic structures on the moduli spaces 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SUSY N = 2 Yang–Mills Theories, Unnamed Item, Bogomolny-Prasad-Sommerfeld monopoles and open spin chains, THE FLUX OF NONCOMMUTATIVE U(1) INSTANTON THROUGH THE FUZZY SPHERES, Reductions of self-dual Yang-Mills fields and classical systems, Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction, Liouville and Painlevé equations and Yang–Mills strings, Multi-instantons in seven dimensions, Quiver gauge theory of non-Abelian vortices and noncommutative instantons in higher dimensions, Instantons on the six-sphere and twistors, Nondegenerate multidimensional matrices and instanton bundles

Cites Work