Some superstring amplitude computations with the non-minimal pure spinor formalism

2006/07/25 by Nathan Berkovits, Carlos R. Mafra · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/11/079

published as JHEP0611:079,2006 · 20 pages, harvmac tex

arxiv created 2006/07/25 · openalex publication_date 2006/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We use the non-minimal pure spinor formalism to compute in a super-Poincare covariant manner the four-point massless one and two-loop open superstring amplitudes, and the gauge anomaly of the six-point one-loop amplitude. All of these amplitudes are expressed as integrals of ten-dimensional superfields in a "pure spinor superspace" which involves five θ coordinates covariantly contracted with three pure spinors. The bosonic contribution to these amplitudes agrees with the standard results, and we demonstrate identities which show how the t₈ and ε₁₀ tensors naturally emerge from integrals over pure spinor superspace.

Citations

• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• The geometry of string perturbation theory

Cited by

• String predictions for near future colliders from one-loop scattering amplitudes around D-brane worlds
• BRST quantization of the pure spinor superstring