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Recursive method for n-point tree-level amplitudes in supersymmetric Yang-Mills theories

Carlos R. Mafra1, Oliver Schlotterer2, Stephan Stieberger2, and Dimitrios Tsimpis3

  • 1Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, 14476 Potsdam, Germany
  • 2Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany
  • 3Université Lyon 1, Institut de Physique Nucléaire de Lyon, 69622 Villeurbanne, France

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Phys. Rev. D 83, 126012 – Published 27 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.126012

Abstract

We present a recursive method for super Yang-Mills color-ordered n-point tree amplitudes based on the cohomology of pure spinor superspace in ten space-time dimensions. The amplitudes are organized into BRST covariant building blocks with diagrammatic interpretation. Manifestly cyclic expressions (no longer than one line each) are explicitly given up to n=10 and higher leg generalizations are straightforward.

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Phys. Rev. D 83, 126012– Published 27 June, 2011
  • Received 18 January 2011

© 2011 American Physical Society

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