Titlebook: Combinatorial Aspects of Scattering Amplitudes; Amplituhedra, T-dual Matteo Parisi Book 2023 The Editor(s) (if applicable) and The Author(s

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The Hypersimplex,r the problem of finding .—collections of positroid tiles whose interiors are pair-wise disjoint and cover the hypersimplex. We show that the . . is the secondary fan for . subdivisions of . into positroid polytopes. In particular, maximal cones of . are in bijection with regular positroid tilings of ..

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The Child with Multiple Injuries, then conjecture that positroid tilings of the . amplituhedron . and of . are in bijection via T-duality. Finally, we explain how to extract tree-level scattering amplitudes in the . space from .. As the momentum amplituhedron is formulated in momentum space (as opposed to the amplituhedron), it ope

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