Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves

DOI10.1016/S0550-3213(98)00285-5zbMath0954.53019arXivhep-th/9710082OpenAlexW2011485151MaRDI QIDQ1571743

N. Delaunay

Publication date: 11 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9710082

zbMATH Keywords

supersymmetric Yang-Mills theoryhyper-Kähler manifoldtopological sigma modeloctonionic instantonstriholomorphic curves

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (6)

Unnamed Item ⋮ A blow-up formula for stationary quaternionic maps ⋮ Batalin-Vilkovisky quantization and supersymmetric twists ⋮ Gauge theory and the division algebras ⋮ Detecting quaternionic maps between hyperkähler manifolds ⋮ Nonlinear Dirac operator and quaternionic analysis

Cites Work

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• Aspects of \(N_T\geqslant 2\) topological gauge theories and D-branes
• Calibrated geometries
• Hyperkähler metrics and supersymmetry
• Quaternion structure on the moduli space of Yang-Mills connections
• Self-dual instantons and holomorphic curves
• Supersymmetry and the cohomology of (hyper) Kähler manifolds
• Higher-dimensional analogues of Donaldson-Witten theory
• Euclidean \(D\)-branes and higher-dimensional gauge theory
• Topological reduction of \(4\)D SYM to \(2\)D\(\sigma\)-models
• Fivebranes, membranes and non-perturbative string theory
• \(D\)-branes and topological field theories
• Topological \(\sigma\)-models in four dimensions and triholomorphic maps

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