$\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
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 hierarchies of conservation laws for this equation are constructed. Then the twistor transform and a solution to the Riemann-Hilbert problem are given.
Cite
@article{arxiv.math-ph/0412011,
title = {$\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system},
author = {Sebastian Formanski and Maciej Przanowski},
journal= {arXiv preprint arXiv:math-ph/0412011},
year = {2009}
}
Comments
25 pages