Seiberg-Witten theory as a complex version of abelian Higgs model

DOI10.1007/s11425-016-9030-4zbMath1381.53162arXiv1702.04882OpenAlexW2593066595MaRDI QIDQ2400409

Armen Glebovich Sergeev

Publication date: 1 September 2017

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.04882

zbMATH Keywords

vorticesSeiberg-Witten equationsadiabatic limitGinzburg-Landau equations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Applications of global analysis to structures on manifolds (57R57) Symplectic field theory; contact homology (53D42)

Cites Work

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• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• The Seiberg-Witten equations and 4-manifold topology
• Justification of the adiabatic principle in the Abelian Higgs model
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
• Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations

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