Liouville vortex and φ4 kink solutions of the Seiberg–Witten equations

DOI10.1063/1.531628zbMath0863.58039arXivhep-th/9602088OpenAlexW2591779878MaRDI QIDQ5284823

Serdar Nergiz, Cihan K. Saçlioğlu

Publication date: 27 February 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9602088

zbMATH Keywords

Seiberg-Witten equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items

SOLUTIONS OF VANISHING CURVATURE NON-ABELIAN MONOPOLE EQUATIONS ⋮ Seiberg-Witten monopole equations and Riemann surfaces ⋮ Langevin approach for Abelian topological gauge theory ⋮ Symplectic and hyper-Kähler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field ⋮ Non-L2 solutions to the Seiberg–Witten equations ⋮ BOGOMOL'NYI VORTICES FROM SEIBERG–WITTEN MONOPOLES ⋮ Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method

Cites Work

• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• Liouville and Painlevé equations and Yang–Mills strings
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Supersymmetric Yang–Mills theory on a four-manifold
• Dirac monopoles and the Seiberg–Witten monopole equations