Abstract
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose volume computes the scattering amplitudes. Using this method one can construct the entire colour-ordered amplitude via mutations starting from a single term.
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Drummond, J., Foster, J., Gürdoğan, Ö. et al. Tropical Grassmannians, cluster algebras and scattering amplitudes. J. High Energ. Phys. 2020, 146 (2020). https://doi.org/10.1007/JHEP04(2020)146
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DOI: https://doi.org/10.1007/JHEP04(2020)146