# $ast$-SDYM fields and heavenly spaces: II. Reductions of the $ast$-SDYM system

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Reductions of self-dual Yang-Mills (SDYM) system for $\ast$-bracket Lie algebra to the Husain-Park (HP) heavenly equation and to $sl(N,{\boldmath{$C$})$ SDYM equation are given. An example of a sequence of $su(N)$ chiral fields ($N\geq 2$) tending for $N\to\infty$ to a curved heavenly space is found.

Author: Sebastian Formanski; Maciej Przanowski

Source: https://archive.org/