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

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

We conjecture that every rational Yangian invariant in $$ \mathcal{N} $$ 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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Veröffentlicht in:The journal of high energy physics 2019-10, Vol.2019 (10), Article 99
Hauptverfasser: Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, Volovich, Anastasia
Format: Artikel
Sprache:eng
Schlagworte:
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Scattering Amplitudes
Supersymmetric Gauge Theory
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Zusammenfassung:We conjecture that every rational Yangian invariant in $$ \mathcal{N} $$ 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2019)099