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

## TL;DR

This paper proposes that all rational Yangian invariants in N=4 SYM theory adhere to cluster adjacency, supported by evidence from Sklyanin Poisson brackets on Gr(4,n).

## Contribution

It introduces a conjecture linking Yangian invariants to cluster adjacency and provides evidence through Poisson bracket analysis.

## Key findings

- Numerous examples support the conjecture.
- Yangian invariants satisfy cluster adjacency.
- Evidence obtained via Sklyanin Poisson brackets.

## 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.