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

Mafra, Carlos R.; Schlotterer, Oliver; Stieberger, Stephan; Tsimpis, Dimitrios

doi:10.1103/PhysRevD.83.126012

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

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Mafra, Carlos R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Mafra, C. R., Schlotterer, O., Stieberger, S., & Tsimpis, D. (2011). Recursive method for n-point tree-level amplitudes in supersymmetric Yang-Mills theories. Physical Review D, 83(12): 126012. doi:10.1103/PhysRevD.83.126012.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-9067-4

Abstract

We propose a recursive formula 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.