University of Hertfordshire

From the same journal

By the same authors

Yangian Symmetry for the Tree Amplituhedron

Research output: Contribution to journalArticlepeer-review


  • 1612.04378v2

    Accepted author manuscript, 481 KB, PDF document


View graph of relations
Original languageEnglish
Article number294005
JournalJournal of Physics A: Mathematical and Theoretical
Publication statusPublished - 29 Jun 2017


Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to be Yangian-invariant. It has been shown that integrability allows to obtain a general, explicit method to find such invariants. The uplifting of this result to the amplituhedron construction has been an important open problem. In this paper, with the help of methods proper to integrable theories, we successfully fill this gap and clarify the meaning of Yangian invariance for the tree-level amplituhedron. In particular, we construct amplituhedron volume forms from an underlying spin chain. As a by-product of this construction, we also propose a novel on-shell diagrammatics for the amplituhedron.


17 pages, 4 figures; v2: extended discussion of results, minor typos corrected, version published in Journal of Physics A

ID: 15512257