Non-Abelian Monopoles on Four-Manifolds

Abstract

We present a non-abelian generalization of Witten monopole equations and we analyze the associated moduli problem, which can be regarded as a generalization of Donaldson theory. The moduli space of solutions for SU(2) monopoles on Kähler manifolds is discussed. We also construct, using the Mathai-Quillen formalism, the topological quantum field theory corresponding to the new moduli problem. This theory involves the coupling of topological Yang-Mills theory to topological matter in four dimensions

35 pages, macropackage phyzzx

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Cited by in corpus (15)

• Issues in Topological Gauge Theory
• Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions
• Polynomial Invariants for SU(2) Monopoles
• PU(2) monopoles and relations between four-manifold invariants
• Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Duality in twisted N=4 supersymmetric gauge theories in four dimensions
• Twisted Baryon Number in N=2 Supersymmetric QCD
• Cohomological Localization of $\mathcal{N}=2$ Gauge Theories with Matter
• Euler number of Instanton Moduli space and Seiberg-Witten invariants
• Wu-Yang Monopoles and Non-Abelian Seiberg-Witten Equations
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• Reducible Connections in Massless Topological QCD and 4-manifolds
• Higgs Bundles and Four Manifolds
• The modified Seiberg-Witten monopole equations and their exact solutions