Yangiantype symmetries of nonplanar leading singularities
Abstract
We take up the study of integrable structures behind nonplanar contributions to scattering amplitudes in N=4 super YangMills theory. Focusing on leading singularities, we derive the action of the Yangian generators on colorordered subsets of the external states. Each subset corresponds to a single boundary of the nonplanar onshell diagram. While Yangian invariance is broken, we find that higherlevel Yangian generators still annihilate the nonplanar onshell diagram. For a given diagram, the number of these generators is governed by the degree of nonplanarity. Furthermore, we present additional identities involving integrable transfer matrices. In particular, for diagrams on a cylinder we obtain a conservation rule similar to the Yangian invariance condition of planar onshell diagrams. To exemplify our results, we consider a fivepoint MHV onshell function on a cylinder.
 Publication:

arXiv eprints
 Pub Date:
 February 2016
 arXiv:
 arXiv:1603.00088
 Bibcode:
 2016arXiv160300088F
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 6 pages, 3 figures