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Yangian Symmetry in Five Dimensions

Lipstein, Arthur; Orchard, Tristan

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Tristan Orchard


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.


Lipstein, A., & Orchard, T. (2022). Yangian Symmetry in Five Dimensions. Physical Review Letters, 129(23), Article 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
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Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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