Langevin approach for Abelian topological gauge theory

DOI10.1063/1.532050zbMath0881.57036OpenAlexW1964192815MaRDI QIDQ4345148

Yuji Ohta

Publication date: 19 February 1998

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

Full work available at URL: https://doi.org/10.1063/1.532050

zbMATH Keywords

quantizationDonaldson theoryBRST transformationtopological action

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to structures on manifolds (57R57) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Cites Work

• The Mathai-Quillen formalism and topological field theory
• Superconnections, Thom classes, and equivariant differential forms
• Topological quantum field theory
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Non-abelian monopoles on four-manifolds
• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• Topological QCD
• Polynomial invariants for \(SU(2)\) monopoles
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Topological Lagrangians and cohomology
• Dirac monopoles and the Seiberg–Witten monopole equations
• The Seiberg-Witten equations and 4-manifold topology
• Liouville vortex and φ4 kink solutions of the Seiberg–Witten equations
• BRST formulation of 4-monopoles
• Topological Yang-Mills symmetry

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