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

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arxiv 1906.10682 v2 pith:CJXKP4QS submitted 2019-06-25 hep-th

Jorge Mago , Anders Schreiber , Marcus Spradlin , Anastasia Volovich This is my paper · ORCID
classification hep-th
keywords adjacencyclusterconjectureyangianbracketcheckeveryevidence
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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.

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  1. Cluster Adjacency for m=2 Yangian Invariants

    hep-th 2019-08 conditional novelty 6.0 of 10

    Every m=2 Yangian invariant is labelled by a collection of non-intersecting polygons in an n-gon, yielding an explicit formula whose denominator factors lie in a common Gr(2,n) cluster, thus manifestly satisfying clus...

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