$\ast$-SDYM fields and heavenly spaces: II. Reductions of the $\ast$-SDYM system

Sebastian Formanski; Maciej Przanowski

doi:10.1088/0305-4470/38/42/014

$\ast$-SDYM fields and heavenly spaces: II. Reductions of the $\ast$-SDYM system

Mathematical Physics 2009-11-11 v1 math.MP

Authors: Sebastian Formanski , Maciej Przanowski

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Abstract

Reductions of self-dual Yang-Mills (SDYM) system for $\ast$ -bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$ C $})$ SDYM equation are given. An example of a sequence of $su(N)$ chiral fields ( $N\geq 2$ ) tending for $N\to\infty$ to a curved heavenly space is found.

Keywords

self-dual yang-mills asterisk-bracket lie algebra husain-park equation heavenly space chiral fields

Cite

@article{arxiv.math-ph/0506036,
  title  = {$\ast$-SDYM fields and heavenly spaces: II. Reductions of the $\ast$-SDYM system},
  author = {Sebastian Formanski and Maciej Przanowski},
  journal= {arXiv preprint arXiv:math-ph/0506036},
  year   = {2009}
}

Comments

18 pages

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