Yangian Invariants and Cluster Adjacency in N=4 Yang-Mills

Abstract

We conjecture that every rational Yangian invariant in N=4 SYM theory satisfies a recently introduced notion of cluster adjacency. We provide evidence for this conjecture by using the Sklyanin Poisson bracket on Gr(4,n) to check numerous examples.

arXiv comment14 pages; v2: minor changes

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Cited by in corpus (11)

• How tropical are seven- and eight-particle amplitudes?
• Two-loop Octagons, Algebraic Letters and $\bar{Q}$ Equations
• The symbol and alphabet of two-loop NMHV amplitudes from $\bar{Q}$ equations
• Symbol Alphabets from Plabic Graphs
• All-Mass $n$-gon Integrals in $n$ Dimensions
• A Note on Letters of Yangian Invariants
• The Two-Loop Remainder Function for Eight and Nine Particles
• Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• A Note on One-loop Cluster Adjacency in N = 4 SYM
• BCFW tilings and cluster adjacency for the amplituhedron