Yangian invariants and cluster adjacency in $ \mathcal{N} $ = 4 Yang-Mills

Mago, Jorge; Schreiber, Anders; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP10(2019)099

Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills

Journal Article · Tue Oct 08 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2019)099· OSTI ID:1594822

Mago, Jorge ^[1]; Schreiber, Anders ^[2]; Spradlin, Marcus ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States); Brown University
Brown Univ., Providence, RI (United States)

We conjecture that every rational Yangian invariant in $$ \mathcal{N} $$ = 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.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0010010

OSTI ID:: 1594822

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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