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Simplex-like Structures of Maximally Supersymmetric Scattering Amplitudes

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Rao,  Junjie
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1712.10000.pdf
(Preprint), 328KB

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Citation

Rao, J. (in preparation). Simplex-like Structures of Maximally Supersymmetric Scattering Amplitudes.


Cite as: https://hdl.handle.net/21.11116/0000-0000-BA6E-4
Abstract
We elaborate the two-fold simplex-like structures of tree amplitudes in planar maximally supersymmetric Yang-Mills (N=4 SYM), through its connection to a mathematical structure known as the positive Grassmannian. Exploiting the reduced Grassmannian geometry and the matrix form of on-shell recursion relation in terms of super momentum twistors, we manifest that tree amplitudes can be remarkably refined via the essential building blocks named as fully-spanning cells. For a fixed number of negative helicities, an amplitude can be entirely captured by finite, compact information of the relevant fully-spanning cells up to an arbitrarily large number of external particles.