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

Sebastian Formanski·Maciej Przanowski
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Abstract

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.

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Sebastian Formanski, Maciej Przanowski. 2005-06-14. $\ast$-SDYM fields and heavenly spaces: II. Reductions of the $\ast$-SDYM system. https://doi.org/10.1088/0305-4470%2F38%2F42%2F014

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