Moyal Nahm Equations

Details Moyal Nahm Equations Moyal Nahm Equations

1999-01-18

arxiv.org/abs/hep-th/9901072v1

J.Math.Phys. 40 (1999) 2539-2548

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, no figures

Scientific paper

Various aspects of the Nahm equations in 3 and 7 dimensions are investigated. The residues of the variables at simple poles in the 7-dimensional case form an algebra. A large class of matrix representations of this algebra is constructed. The large $N$ limit of these equations is taken by replacing the commutators by Moyal Brackets, and a set of non trivial solutions in a generalised form of Wigner distribution functions is obtained.

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