Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace

Abstract

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.

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

References in corpus (4)

• All tree-level amplitudes in N=4 SYM
• R^4, purified
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Supersymmetry Relations and MHV Amplitudes in Superstring Theory

Cited by in corpus (6)

• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Tree-level amplitudes from the pure spinor superstring
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• Local BCJ numerators for ten-dimensional SYM at one loop
• Pure spinor formulation of the superstring and its applications