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A recent paper proposes a way of constructing infinite dimensional symmetriesof the non-supersymmetric self-dual Yang-Mills action using isometries of thespace-time. We review the Lagrangian formulation of N = 4 super Yang-Mills MHVrules and extend the approach taken for the non-supersymmetric case toconstruct infinite dimensional symmetries of self-dual N = 4 super Yang-Mills.

Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone