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Cluster Adjacency for m=2 Yangian Invariants
Tomasz Lukowski, Matteo Parisi, Marcus Spradlin +1
We classify the rational Yangian invariants of the toy model of Yang-Mills theory in terms of generalised triangles inside the amplituhedron $\mathcal{A}_{n,k…
Weak Separation, Positivity and Extremal Yangian Invariants
Luke Lippstreu, Jorge Mago, Marcus Spradlin +1
We classify all positive n-particle N^kMHV Yangian invariants in N=4 Yang-Mills theory with n=5k, which we call extremal because none exist for n>5k. We show that this problem is e…
Yangian Invariants and Cluster Adjacency in N=4 Yang-Mills
Jorge Mago, Anders Schreiber, Marcus Spradlin +1
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…
Celestial Amplitudes: Conformal Partial Waves and Soft Limits
Dhritiman Nandan, Anders Schreiber, Anastasia Volovich +1
Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial…
The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
John Golden, Andrew J. McLeod, Marcus Spradlin +1
We argue that the Sklyanin Poisson bracket on Gr(4,n) can be used to efficiently test whether an amplitude in planar supersymmetric Yang-Mills theory satisfies cluste…