Abstract
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.
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ArXiv ePrint: 1908.07618
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Łukowski, T., Parisi, M., Spradlin, M. et al. Cluster adjacency for m = 2 Yangian invariants. J. High Energ. Phys. 2019, 158 (2019). https://doi.org/10.1007/JHEP10(2019)158
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DOI: https://doi.org/10.1007/JHEP10(2019)158