Yangian symmetry for the action of planar N=4 super Yang-Mills and N=6 super Chern-Simons theories

Abstract

In this article, we establish the notion of classical Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory and for related planar gauge theories. After revisiting Yangian invariance for the equations of motion, we describe how the bilocal generators act on the action of the model such that the latter becomes exactly invariant. In particular, we elaborate on the relevance of the planar limit and how to act nonlinearly with bilocal generators on the cyclic action.