L3

Here I would like to present how one can obtain SDYM and

heavenly equations in general Fedosov deformation quantisation scheme. I am

considering some aspects of integrability (conservation laws,Lax pair,dressing

operator and Riemann-Hilbert problem).Then, using an embedding of sl(N,C) in the

Moyal bracket algebra, I am going to show an example of a series of chiral

sl(N,C) fields tending to heavenly spacetime when N tends to infinity (Ward's

question). ( All this is a natural continuation of the works by Strachan and

Takasaki).