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The Tropical Amplituhedron
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abstract
The Amplituhedron is a subspace of the Grassmannian that was recently defined by Arkani-Hamed and Trnka in their study of scattering amplitudes in planar $\mathcal{N}=4$ super Yang Mills theory (arXiv:1312.2007), and was the subject of many papers in the last decade. In this work we define a tropical analog of the amplituhedron, and develop techniques to address it. We prove that many of the key properties of the amplituhedron hold also in this simpler, piecewise linear, model.
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Notes on the one-loop amplituhedron and its BCFW tiling
The one-loop amplituhedron is tiled by BCFW cells, extending the author's tree-level proof of the BCFW tiling conjecture to one loop.
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