The one-loop open superstring massless five-point amplitude with the non-minimal pure spinor formalism

2009/02/15 by Carlos R. Mafra, Carlos R Mafra, Christian Stahn · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Formalism (music) #Kinematics #Massless particle #Pure spinor #Quantum Chromodynamics and Particle Interactions #Spinor #Superstring theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/03/126

published as JHEP 0903:126,2009 · 38 pages, harvmac TeX, v2: fix typo in (4.2) and add reference

arxiv created 2009/02/15 · openalex publication_date 2009/03/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic factor of the massless four-point amplitude. It encodes bosonic and fermionic external states in supersymmetric form and reduces to existing bosonic amplitudes when expanded in components, therefore proving their equivalence. We also show how to compute the kinematic structures involving fermionic states.

Citations

• Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace
• Non-Abelian Born–Infeld action and type I–heterotic duality (II): Nonrenormalization theorems
• The open superstring 5-point amplitude revisited
• Multiloop superstring amplitudes from non-minimal pure spinor formalism
• Superstring modifications of Einstein's equations
• Some superstring amplitude computations with the non-minimal pure spinor formalism
• New Higher-DerivativeR4Theorems for Graviton Scattering
• BRST quantization of the pure spinor superstring
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring

Cited by

• The structure of n-point one-loop open superstring amplitudes