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

Jacob L. Bourjaily, Jaroslav Trnka, Anastasia Volovich, Congkao Wen

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27 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number38
JournalJournal of High Energy Physics
Volume2011
Issue number1
DOIs
StatePublished - 2011

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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