A double complex construction and discrete Bogomolny equations

Abstract

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

contribution to the proceeding of the conference on Differential & Difference Equations and Applications, Ponta Delgada, Portugal July 4-8, 2011