Nineteen vortex equations and integrability

DOI10.1088/1751-8121/ac8f77OpenAlexW4294879052MaRDI QIDQ5877077

Sven Bjarke Gudnason

Publication date: 3 February 2023

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

Full work available at URL: https://arxiv.org/abs/2203.09115

zbMATH Keywords

Liouville equationBaptista metricabelian vortex equations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05)

Related Items (2)

Elizabethan vortices ^* ⋮ Cosmic strings arising in a self-dual Abelian Higgs model

Cites Work

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• Some exact Bradlow vortex solutions
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• Vortices as degenerate metrics
• Magnetic impurities, integrable vortices and the Toda equation
• Cartan connections and integrable vortex equations
• Curvature functions for compact 2-manifolds
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Five vortex equations
• The Kähler potential of Abelian Higgs vortices
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Self-dual Chern-Simons vortices
• Topological Solitons
• Manton’s five vortex equations from self-duality

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