Yangian Symmetry in Five Dimensions

Lipstein, Arthur; Orchard, Tristan

Abstract

Quantum gravity in AdS7×S4 is dual to a six-dimensional (6D) superconformal field theory, known as the 6D (2,0) theory, which is very challenging to describe because it lacks a conventional Lagrangian description. On the other hand, certain null reductions of the 6D (2,0) theory give rise to 5D Lagrangian theories with SU(1,3) spacetime symmetry, SO(5) R symmetry, and 24 supercharges. This appears to be closely related to the superconformal group of a 3D superconformal Chern-Simons theory known as the Aharony-Bergman-Jafferis-Maldacena theory, which is believed to be integrable in the planar limit, if one exchanges the role of conformal and R symmetry. In this Letter, we construct a representation of the 5D superconformal group using 6D supertwistors and show that it admits an infinite dimensional extension known as Yangian symmetry, which opens up the possibility that these 5D theories are exactly solvable in the planar limit.

Citation

Lipstein, A., & Orchard, T. (2022). Yangian Symmetry in Five Dimensions. Physical Review Letters, 129(23), Article 231602. https://doi.org/10.1103/physrevlett.129.231602

• Journal Article Type: Article
• Acceptance Date: Oct 25, 2022
• Online Publication Date: Nov 30, 2022
• Publication Date: Dec 2, 2022
• Deposit Date: Dec 1, 2022
• Publicly Available Date: Dec 5, 2022
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 129
• Issue: 23
• Article Number: 231602
• DOI: https://doi.org/10.1103/physrevlett.129.231602
• Public URL: https://durham-repository.worktribe.com/output/1187726
• Related Public URLs: https://arxiv.org/abs/2206.01668