SPIN MODEL EQUATIONS, CONNECTIONS WITH INTEGRABLE SYSTEMS AND APPLICATIONS TO MAGNETIC VORTICES

DOI10.1142/S0217979203023045zbMath1073.82513MaRDI QIDQ5312186

Paul Bracken

Publication date: 30 August 2005

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

zbMATH Keywords

nonlinear sigma modelgeometric surfaceSolitionsChern--Simons gauge field

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

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

• Unnamed Item
• Symmetry properties and explicit solutions of the generalized Weierstrass system
• 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 Complete Integrability of the Generalized Weierstrass System
• Induced Surfaces and Their Integrable Dynamics