Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace

Details Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace

2010-07-21

arxiv.org/abs/1007.3639v4

JHEP 1011:096,2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, harvmac, v4: trivial edits in the text to comply with JHEP referee

Scientific paper

10.1007/JHEP11(2010)096

A simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude. It is manifestly cyclic invariant and each one of its five terms can be associated to the five Feynman diagrams which use only cubic vertices. Its form also suggests an empirical method to find superspace expressions in the cohomology of the pure spinor BRST operator for higher-point amplitudes based on their kinematic pole structure. Using this method, Ansaetze for the 6- and 7-point 10D super-Yang-Mills amplitudes which map to their 14 and 42 color-ordered diagrams are conjectured and their 6- and 7-gluon expansions are explicitly computed.

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