lowast-SDYM fields and heavenly spaces: II. Reductions of the lowast-SDYM system

2005/06/14 by Sebastian Formanski, Sebastian Formański, Maciej Przanowski · 6 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Differential equation #Field (mathematics) #Lie algebra #Nonlinear Waves and Solitons #Sequence (biology) #Space (punctuation) #math-ph #math.MP #msc:35Q99 #msc:53Z05

paper · pdf · doi:10.1088/0305-4470/38/42/014

published in Journal of Physics A Mathematical and General 38(42), 9371-9385 (Institute of Physics) · 18 pages

arxiv created 2005/06/14 · openalex publication_date 2005/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Reductions of the self-dual Yang–Mills (SDYM) system for ∗-bracket Lie algebra to the Husain–Park (HP) heavenly equation and to sl ( N , C ) SDYM equation are given. An example of a sequence of su ( N ) chiral fields ( N ⩾ 2) tending for N → ∞ to a curved heavenly space is found.

Citations

• Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system
• A geometry for multidimensional integrable systems
• A cubic action for self-dual Yang-Mills