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

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

2005-06-14

arxiv.org/abs/math-ph/0506036v1

J.Phys. A38 (2005) 9371-9385

Physics

Mathematical Physics

18 pages

Scientific paper

10.1088/0305-4470/38/42/014

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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