Tue, 01 Jun 2004
12:00
12:00
L3
SDYM and heavenly equations in deformation quantition
M Przanowski
(Lodz)
Abstract
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).