Non-abelian monopoles on four-manifolds

1995/04/04 by J.M.F. Labastida, J. M. F. Labastida, M. Mariño +1 · 27 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Generalization #Geometry and complex manifolds #Magnetic monopole #Modular equation #Moduli #Moduli space #Quantum Mechanics and Non-Hermitian Physics #Quantum field theory #Space (punctuation) #Topological quantum field theory #alg-geom #hep-th #math.AG

paper · pdf · doi:10.1016/0550-3213(95)00300-h

published in Nuclear Physics B 448(1-2), 373-395 (Elsevier BV) · 35 pages, macropackage phyzzx

arxiv created 1995/04/04 · openalex publication_date 1995/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Polynomial invariants for smooth four-manifolds
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• Fermi-Bose hypersymmetry
• Topological quantum field theory