Properties of the self dual equations for an SU(<i>n</i>) gauge theory

Abstract

The Yang equations for all self dual solutions of SU(r,s) gauge theory are exhibited in simple form. Algebraic and Bäcklund transformations of the solutions of these equations are derived. The Bäcklund transformations change an SU(r,s) solution into an SU(r−1, s+1) solution.