A recursive method for SYM n-point tree amplitudes

TL;DR

This paper introduces a recursive approach to compute super Yang-Mills n-point tree amplitudes using pure spinor superspace cohomology, providing explicit cyclic expressions up to ten points.

Contribution

It develops a novel recursive method based on pure spinor superspace cohomology for calculating super Yang-Mills amplitudes, with explicit cyclic formulas for up to ten points.

Findings

Explicit cyclic expressions for amplitudes up to n=10

Recursive method based on BRST covariant building blocks

Straightforward extension to higher points

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.