27 citations · 75 across the 5 of their papers we have counts for
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Positive and Negative Ladders in Loop Space
Ross Glew, Tomasz Lukowski
Motivated by a new term-wise factorised formula for the two-loop MHV integrand for scattering amplitudes in super Yang-Mills (SYM), together with recent results for…
Kleiss-Kuijf Relations from Momentum Amplituhedron Geometry
David Damgaard, Livia Ferro, Tomasz Lukowski +1
In recent years, it has been understood that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries. In particular, amplitudes…
Momentum Amplituhedron meets Kinematic Associahedron
David Damgaard, Livia Ferro, Tomasz Lukowski +1
In this paper we study a relation between two positive geometries: the momentum amplituhedron, relevant for tree-level scattering amplitudes in super Yang-Mills t…
From Momentum Amplituhedron Boundaries to Amplitude Singularities and Back
Livia Ferro, Tomasz Lukowski, Robert Moerman
The momentum amplituhedron is a positive geometry encoding tree-level scattering amplitudes in super Yang-Mills directly in spinor-helicity space. In this paper we…
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…