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  Simplex-like Structures of Maximally Supersymmetric Scattering Amplitudes

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

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-BA6E-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F9C2-A
Genre: Paper

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1712.10000.pdf (Preprint), 328KB
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 Creators:
Rao, Junjie1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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.

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 Dates: 2017-12-282018-01-15
 Publication Status: Not specified
 Pages: 5 pages, 2 figures. Introductory overview of 1609.08627v2
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1712.10000
URI: http://arxiv.org/abs/1712.10000
 Degree: -

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