Nonlinear integrable flow on the framed moduli space of instantons

DOI10.1007/BF00398278zbMath0729.58019MaRDI QIDQ806122

Yoshimasa Nakamura

Publication date: 1990

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

zbMATH Keywords

equation of motiongauge theorymonopoleself-dual Yang-Mills equationcyclic Toda hierarchynonlinear integrable systems

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) Moduli problems for differential geometric structures (58D27) Applications of global differential geometry to the sciences (53C80)

Related Items

The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations

Cites Work

• Remarks on the moduli space of SU(2) monopoles and Toda flow
• Instantons and geometric invariant theory
• Nahm's equations and the classification of monopoles
• Construction of instantons
• Two-dimensional generalized Toda lattice
• Moduli of vector bundles on the projective plane