Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory

Understand

In this letter we establish Yangian symmetry of planar N=4 super-Yang-Mills theory.

• We prove that the classical equations of motion of the model close onto themselves under the action of Yangian generators.
• Moreover we propose an off-shell extension of our statement which is equivalent to the invariance of the action and prove that it is exactly satisfied.
• We assert that our relationship serves as a criterion for integrability in planar gauge theories by explicitly checking that it applies to integrable ABJM theory but not to non-integrable N=1 super-Yang-Mills theory.