Yangian-type symmetries of non-planar leading singularities

Frassek, Rouven; Meidinger, David

Abstract

We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4N=4 super Yang-Mills theory. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of the external states. Each subset corresponds to a single boundary of the non-planar on-shell diagram. While Yangian invariance is broken, we find that higher-level Yangian generators still annihilate the non-planar on-shell diagram. For a given diagram, the number of these generators is governed by the degree of non-planarity. 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 on-shell diagrams. To exemplify our results, we consider a five-point MHV on-shell function on a cylinder.

Citation

Frassek, R., & Meidinger, D. (2016). Yangian-type symmetries of non-planar leading singularities. Journal of High Energy Physics, 2016(5), Article 110. https://doi.org/10.1007/jhep05%282016%29110

• Journal Article Type: Article
• Acceptance Date: May 9, 2016
• Online Publication Date: May 18, 2016
• Publication Date: May 18, 2016
• Deposit Date: May 24, 2016
• Publicly Available Date: Jun 21, 2016
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 5
• Article Number: 110
• DOI: https://doi.org/10.1007/jhep05%282016%29110
• Public URL: https://durham-repository.worktribe.com/output/1411757