The Lagrangian of a Self-Dual Gravitational Field as a Limit of the SDYM Lagrangian
Jerzy Plebanski, Maciej Przanowski
Abstract
The action for the su(N) SDYM equations is shown to give in the limit N ∞ the action for the six-dimensional version of the second heavenly equation. The symmetry reductions of this latter equation to the well known equations of self-dual gravity are given. The Moyal deformation of the heavenly equations are also considered.
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