Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations

M. Legare

Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP

Authors: M. Legare

Abstract

A noncommutative version of the (anti-) self-dual Yang-Mills equations is shown to be related via dimensional reductions to noncommutative formulations of the generalized (SO(3)/SO(2)) nonlinear Schrodinger (NS) equations, of the super-Korteweg- de Vries (super-KdV) as well as of the matrix KdV equations. Noncommutative extensions of their linear systems and bicomplexes associated to conserved quantities are discussed.

Keywords

noncommutative self-dual Yang-Mills dimensional reduction nonlinear Schrodinger super-KdV matrix KdV

Cite

@article{arxiv.hep-th/0012077,
  title  = {Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations},
  author = {M. Legare},
  journal= {arXiv preprint arXiv:hep-th/0012077},
  year   = {2007}
}

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15 pages

Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations

Abstract

Keywords

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