Cluster adjacency for m = 2 Yangian invariants

Abstract

Abstract We classify the rational Yangian invariants of the m = 2 toy model of N $$ \mathcal{N} $$ = 4 Yang-Mills theory in terms of generalised triangles inside the amplituhedron A n , k 2 $$ {\mathcal{A}}_{n,k}^{(2)} $$ . We enumerate and provide an explicit formula for all invariants for any number of particles n and any helicity degree k. Each invariant manifestly satisfies cluster adjacency with respect to the Gr(2, n) cluster algebra.

Keywords

• Scattering Amplitudes
• Supersymmetric Gauge Theory