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

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 ($N\ge 2$) tending for $N\to \infty$ to a curved heavenly space is found.

arXiv comment18 pages

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Cited by in corpus (4)

• New heavenly double copies
• Multidimensional integrable systems and deformations of Lie algebra homomorphisms
• Self-dual gravity via Hitchin's equations
• On an integrable deformation of Kapustin-Witten systems