Remarks on the moduli space of SU(2) monopoles and Toda flow

DOI10.1007/BF01045883zbMath0723.58009MaRDI QIDQ756804

Yoshimasa Nakamura, Tyrone E. Duncan

Publication date: 1990

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

zbMATH Keywords

moduli spaceToda flowSU(2) k-monopoles

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Moduli problems for differential geometric structures (58D27)

Related Items

Nonlinear integrable flow on the framed moduli space of instantons

Cites Work

• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• Nahm's equations and the classification of monopoles
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• The topology of rational functions and divisors of surfaces
• Closed geodesics on the space of stable two-monopoles
• Low-energy scattering of non-Abelian magnetic monopoles
• Bounded geodesics for the Atiyah-Hitchin metric