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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Fractures in Pediatric Growth Disorders,d the cluster structures of ‘amplituhedra’—the positive geometries relevant for scattering amplitudes of . SYM (and beyond). In this chapter we review the motivation and the results of our work, and present future directions.

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T-Duality: The Hypersimplex Versus the Amplituhedron, Moreover, T-duality provides a bijection between .-simplices—giving the well-known triangulation of . into Weyl alcoves—and .-chambers—giving a decomposition of . into a subset of its sign strata related to oriented uniform matroids. They are both labelled by permutations . on . with . descents, he

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Positroid Tilings,ferent types of positroid tilings and dissections from . and from the . .—laying the groundwork to realize the tantalizing possibility of a notion of secondary polytope-like structures for Grasstopes.

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Arboreal

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Conclusions,d the cluster structures of ‘amplituhedra’—the positive geometries relevant for scattering amplitudes of . SYM (and beyond). In this chapter we review the motivation and the results of our work, and present future directions.

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Matteo ParisiConnects Amplituhedra with the ever-expanding fields of cluster algebras and tropical geometry.Addresses both algebraic combinatorists and high energy physicists.Combines extensive introductions on bo

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