2006/05/03 by Olaf Lechtenfeld
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Geometry #Integrable system #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Reduction (mathematics) #Sigma #Sigma model #Sine #Soliton #Space (punctuation) #Stability (learning theory) #hep-th
paper · pdf · doi:10.1142/9789812779649_0009
150 minutes of lectures given 01-04 November 2005 at the International Workshop on Noncommutative Geometry and Physics in Sendai, Japan
arxiv created 2006/05/03 · openalex publication_date 2007/08/01 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
These lectures deal mainly with solitons in three-dimensional Moyal-deformed sigma models. The topics are: static and moving (multi-)solitons of the (integrable) Ward sigma model, with space-space and time-space noncommutativity, their scattering, moduli space dynamics, stability and dimensional reduction, including an integrable deformation of the sine-Gordon system.