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arXiv · 1701.09162

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

Niklas Beisert·Aleksander Garus·Matteo Rosso
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Abstract

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.

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Niklas Beisert, Aleksander Garus, Matteo Rosso. 2017-01-31. Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory. https://doi.org/10.1103/physrevlett.118.141603

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