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The Grassmannian and the twistor string: Connecting all trees in N = 4 SYM

We present a new, explicit formula for all tree-level amplitudes in N = 4 super Yang-Mills. The formula is written as a certain contour integral of the connected prescription of Witten's twistor string, expressed in link variables. A very simple deformation of the integrand gives directly the Grassmannian integrand proposed in [1] together with the explicit contour of integration. The integral is derived by iteratively adding particles to the Grassmannian integral, one particle at a time, and makes manifest both parity and soft limits. The formula is shown to be related to that of [2], and generalizes the results of [3, 4] for NMHV and N2MHV to all N(k-2)MHV tree amplitudes in N = 4 super Yang-Mills.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/JHEP01(2011)038

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Metadata

Work Title The Grassmannian and the twistor string: Connecting all trees in N = 4 SYM
Access
Open Access
Creators
  1. Jacob L. Bourjaily
  2. Jaroslav Trnka
  3. Anastasia Volovich
  4. Congkao Wen
Keyword
  1. Supersymmetry and duality
  2. Supersymmetric gauge theory
  3. Gauge symmetry
  4. String duality
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Journal of High Energy Physics
Publication Date January 11, 2011
Publisher Identifier (DOI)
  1. https://doi.org/10.1007/JHEP01(2011)038
Deposited January 17, 2024

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Version 1
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  • Created

    January 17, 2024 10:32 by Researcher Metadata Database

  • Added twistor_string-1.pdf

    January 17, 2024 10:32 by Researcher Metadata Database

  • Added Creator Jacob L. Bourjaily

    January 17, 2024 10:32 by Researcher Metadata Database

  • Added Creator Jaroslav Trnka

    January 17, 2024 10:32 by Researcher Metadata Database

  • Added Creator Anastasia Volovich

    January 17, 2024 10:32 by Researcher Metadata Database

  • Added Creator Congkao Wen

    January 17, 2024 10:32 by Researcher Metadata Database

  • Published

    January 17, 2024 10:32 by Researcher Metadata Database

  • Updated Keyword Show Changes

    January 18, 2024 10:22 by avs5190

    Keyword
    • Supersymmetry and duality, Supersymmetric gauge theory, Gauge symmetry, String duality
  • Updated

    April 04, 2024 10:22 by [unknown user]