9 citations · 20 across the 4 of their papers we have counts for
4 papers
-SDYM fields and heavenly spaces: II. Reductions of the -SDYM system
Sebastian Formanski, Maciej Przanowski
Reductions of self-dual Yang-Mills (SDYM) system for -bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$C$})$ SDYM equation are given. An…
-SDYM Fields and Heavenly Spaces. I. -SDYM equations as an integrable system
Sebastian Formanski, Maciej Przanowski
It is shown that the self-dual Yang-Mills (SDYM) equations for the -bracket Lie algebra on a heavenly space can be reduced to one equation (the \it master equation\rm). Two h…
Deformation Quantization of sdiff() SDYM Equation
M. Przanowski, J. F. Plebanski, S. Formanski
Deformation quantization (the Moyal deformation) of SDYM equation for the algebra of the area preserving diffeomorphisms of a 2-surface , sdiff(), is studied. Deforme…
Nonlinear Graviton as a Limit of sl(N;C) Chiral Fields as N--> infty
Maciej Przanowski, Sebastian Formanski, Francisco J. Turrubiates
An example of a sequence of the sl(N;C) chiral fields, for N, tending to the complex heavenly metric (nonlinear graviton) of the type [4]x[-] when N --> infinity is given.