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In this article we establish the notion of classical Yangian symmetry forplanar N=4 supersymmetric Yang-Mills theory and for related planar gaugetheories. After revisiting Yangian invariance for the equations of motion, wedescribe how the bi-local generators act on the action of the model such thatthe latter becomes exactly invariant. In particular, we elaborate on therelevance of the planar limit and how to act non-linearly with bi-localgenerators on the cyclic action.

Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories