Abstract
We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n-point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Plücker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.
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ArXiv ePrint: 2005.07177
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Mago, J., Schreiber, A., Spradlin, M. et al. A note on one-loop cluster adjacency in \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2021, 84 (2021). https://doi.org/10.1007/JHEP01(2021)084
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DOI: https://doi.org/10.1007/JHEP01(2021)084