Integrability of Chern–Simons–Higgs and Abelian Higgs vortex equations in a background metric

DOI10.1063/1.529367zbMath0743.35057OpenAlexW2088494250MaRDI QIDQ3981631

Jeremy Schiff

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529367

zbMATH Keywords

singularitiesintegrabilityPainlevé analysisPainlevé equationsChern-Simons-Higgs vortices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (12)

Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ Integrable abelian vortex-like solitons ⋮ Domain wall solitons arising in classical gauge field theories ⋮ Topological multi-vortex solutions of the Maxwell-Chern-Simons-Higgs model with a background metric ⋮ \(U(1) \times U(1)\) Chern-Simons solitons in background gravity ⋮ Existence of multivortex solutions in the self-dual Chern–Simons–Higgs theory in a background metric ⋮ Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains ⋮ Gravitating self-dual Chern-Simons solitons ⋮ Relativistic Chern–Simons–Higgs vortex equations ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems ⋮ The existence of Chern-Simons vortices

Cites Work

• Painlevé property and geometry
• Existence and uniqueness of generalized vortices
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Self-dual Chern-Simons vortices
• Rational Solutions of Painlevé Equations

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