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.

arXiv comment14 pages, harvmac, v4: trivial edits in the text to comply with JHEP referee

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• Infinite Tension Limit of the Pure Spinor Superstring
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Generic multiloop methods and application to N=4 super-Yang-Mills
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• A recursive method for SYM n-point tree amplitudes
• Multiparticle one-loop amplitudes and S-duality in closed superstring theory
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• From maximal to minimal supersymmetry in string loop amplitudes
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• The two-loop superstring five-point amplitude and S-duality
• Local BCJ numerators for ten-dimensional SYM at one loop
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• One-loop SYM-supergravity relation for five-point amplitudes
• Pure spinor formulation of the superstring and its applications