Variational aspects of the Seiberg-Witten functional

DOI10.1007/BF01254344zbMath0852.58020arXivdg-ga/9504003OpenAlexW1966200607MaRDI QIDQ1913316

Xiao-Wei Peng, Guofang Wang, Juergen Jost

Publication date: 26 November 1996

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9504003

zbMATH Keywords

Euler-Lagrange equationsPalais-Smale conditionSeiberg-Witten functional4-dimensional geometry

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (6)

From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis ⋮ Minimal submanifolds from the abelian Higgs model ⋮ Seiberg-Witten-Floer homology and gluing formulae ⋮ Instability of reducible critical points of the Seiberg-Witten functional ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions ⋮ Higher order Seiberg-Witten functionals and their associated gradient flows

Cites Work

• Unnamed Item
• On the equivalence of the first and second order equations for gauge theories
• Connections with \(L^ p \)bounds on curvature
• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• Einstein metrics and Mostow rigidity
• The Seiberg-Witten and Gromov invariants
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Another Report on Harmonic Maps

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