Cluster patterns in Landau and leading singularities via the amplituhedron
Ömer Gürdoğan, Matteo Parisi
Source abstract
We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in \mathcal{N}=4 super Yang–Mills theory. In particular, we conjecture that, given a maximal cut of a loop amplitude, Landau singularities and poles of each Yangian invariant appearing in any representation of the corresponding leading singularities can be found together in a cluster. We check these adjacencies for all one-loop amplitudes up to 9 points. Along the way, we also prove that all (rational) N{^2}MHV Yangian invariants are cluster adjacent, confirming original conjectures.
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