Cluster Adjacency for m=2 Yangian Invariants

Tomasz Lukowski, Matteo Parisi, Marcus Spradlin, Anastasia Volovich

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9 Citations (Scopus)
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We classify the rational Yangian invariants of the $m=2$ toy model of $\mathcal{N}=4$ Yang-Mills theory in terms of generalised triangles inside the amplituhedron $\mathcal{A}_{n,k}^{(2)}$. We enumerate and provide an explicit formula for all invariants for any number of particles $n$ and any helicity degree $k$. Each invariant manifestly satisfies cluster adjacency with respect to the $Gr(2,n)$ cluster algebra.
Original languageEnglish
Article number158
JournalJournal of High Energy Physics (JHEP)
Issue number10
Publication statusPublished - 14 Oct 2019


  • hep-th
  • Scattering Amplitudes
  • Supersymmetric Gauge Theory


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