Yangian Symmetry for the Tree Amplituhedron

Livia Ferro, Tomasz Lukowski, Andrea Orta, Matteo Parisi

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
29 Downloads (Pure)


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.
Original languageEnglish
Article number294005
JournalJournal of Physics A: Mathematical and Theoretical
Issue number29
Publication statusPublished - 29 Jun 2017


  • hep-th


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