Abstract
Symbol alphabets of n-particle amplitudes in \( \mathcal{N} \) = 4 super-Yang-Mills theory are known to contain certain cluster variables of G(4, n) as well as certain algebraic functions of cluster variables. In this paper we solve the C Z = 0 matrix equations associated to several cells of the totally non-negative Grassmannian, combining methods of arXiv:2012.15812 for rational letters and arXiv:2007.00646 for algebraic letters. We identify sets of parameterizations of the top cell of G+(5, 9) for which the solutions produce all of (and only) the cluster variable letters of the 2-loop nine-particle NMHV amplitude, and identify plabic graphs from which all of its algebraic letters originate.
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Mago, J., Schreiber, A., Spradlin, M. et al. Symbol alphabets from plabic graphs III: n = 9. J. High Energ. Phys. 2021, 2 (2021). https://doi.org/10.1007/JHEP09(2021)002
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DOI: https://doi.org/10.1007/JHEP09(2021)002