Explicit BCJ numerators from pure spinors

2011/04/27 by Carlos R. Mafra, Oliver Schlotterer, Stephan Stieberger · 13 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Gauge theory #Gluon #Helicity #Kinematics #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure spinor #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering amplitude #Spinor #Superstring theory #Supersymmetry #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep07(2011)092

32 pages, harvmac

arxiv created 2011/04/27 · openalex publication_date 2011/07/01 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive local kinematic numerators for gauge theory tree amplitudes which manifestly satisfy Jacobi identities analogous to color factors. They naturally emerge from the low energy limit of superstring amplitudes computed with the pure spinor formalism. The manifestation of the color--kinematics duality is a consequence of the superstring computation involving no more than (n-2)! kinematic factors for the full color dressed n-point amplitude. The bosonic part of these results describe gluon scattering independent on the number of supersymmetries and captures any N^kMHV helicity configuration after dimensional reduction to D=4 dimensions.

Citations

• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• ICTP Lectures on Covariant Quantization of the Superstring
• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• New features of FORM
• Open & Closed vs. Pure Open String Disk Amplitudes
• The open superstring 5-point amplitude revisited
• Some superstring amplitude computations with the non-minimal pure spinor formalism
• Recursive method forn-point tree-level amplitudes in supersymmetric Yang-Mills theories
• Amplitude forN-Gluon Superstring Scattering
• New relations for gauge-theory amplitudes

Cited by

• Basics of generalized unitarity
• Gluons and gravitons at one loop from ambitwistor strings
• Non-linear gauge transformations in D = 10 SYM theory and the BCJ duality
• Double Field Theory as the Double Copy of Yang-Mills
• Dual-color decompositions at one-loop level in Yang-Mills theory
• Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
• String Amplitudes from Field-Theory Amplitudes and Vice Versa
• Tropical Amplitudes
• Color-kinematics duality for QCD amplitudes
• The structure of n-point one-loop open superstring amplitudes
• Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Loop amplitudes monodromy relations and color-kinematics duality
• Unraveling conformal gravity amplitudes
• A vertex operator algebra construction of the colour-kinematics dual numerator