REDUCTIONS OF CHERN–SIMONS THEORY RELATED TO INTEGRABLE SYSTEMS WHICH HAVE GEOMETRIC APPLICATIONS

DOI10.1142/S0217979204024690zbMath1073.81061MaRDI QIDQ5312145

Paul Bracken

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

reductionsintegrable systemnonlinear sigma modelsChern--Simons theory

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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (3)

The generalized Weierstrass system inducing surfaces of constant and nonconstant mean curvature in Euclidean three space ⋮ AN INTEGRABLE MODEL WITH SOLITON SOLUTIONS WHICH HAVE APPLICATIONS TO TWO-DIMENSIONAL GRAVITY ⋮ The generalized Weierstrass system for nonconstant mean curvature surfaces and the nonlinear sigma model

Cites Work

• Deformation of surfaces, integrable systems, and Chern–Simons theory
• TIME-INDEPENDENT SOLUTIONS TO THE TWO-DIMENSIONAL NONLINEAR O(3) SIGMA MODEL AND SURFACES OF CONSTANT MEAN CURVATURE
• Constant mean curvature surfaces via an integrable dynamical system
• The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model
• Topological field theories and integrable models
• On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces
• The Lax pair by dimensional reduction of Chern–Simons gauge theory
• SPIN MODEL EQUATIONS, CONNECTIONS WITH INTEGRABLE SYSTEMS AND APPLICATIONS TO MAGNETIC VORTICES

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