A double complex construction and discrete Bogomolny equations

Physics – Mathematical Physics

Scientific paper

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contribution to the proceeding of the conference on Differential & Difference Equations and Applications, Ponta Delgada, Portu

Scientific paper

We study discrete models which are generated by the self-dual Yang-Mills
equations. Using a double complex construction we construct a new discrete
analog of the Bogomolny equations. Discrete Bogomolny equations, a system of
matrix valued difference equations, are obtained from discrete self-dual
equations

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