Explicit BCJ numerators from pure spinors

By Carlos R. Mafra, O. Schlotterer, S. Stieberger. 2011

248 citations recorded by the source corpus.

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 NkMHV helicity configuration after dimensional reduction to D = 4 dimensions.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/39791d3f171ae66d01156455f65dd7ec2f300db3

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Citations in the corpus

Colour-Kinematics duality for one-loop rational amplitudes (2013, methodology): “At tree level, we know [4–7, 19] that such numerators can be found.”
Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure (2011, background): “Furthermore, recently it has been shown, how superstring amplitudes can be used to efficiently provide numerators satisfying the color identities [10].”
The double copy: Bremsstrahlung and accelerating black holes (2016, background): “The validity of the BCJ double copy and the existence of colour-dual numerators has been proven at tree-level [5–13] (where it is equivalent to the KLT relations [1]).”
Type D spacetimes and the Weyl double copy (2018, unknown): “This form of the double copy has been extensively studied at tree level, leading to various proofs [4–16].”
Perturbative spacetimes from Yang-Mills theory (2016, background): “More generally, the field-theory limit of superstring theory has been very fruitful for understanding colour-kinematics duality [10, 51, 72] and there has been recent progress on more formal aspects of the duality [73–75].”
Pure gravities via color-kinematics duality for fundamental matter (2014, unknown): “26e) − 2〈13〉[24] ( (k1+k2)·ε5 )) = −i55 D5 .”
Einstein-Yang-Mills scattering amplitudes from scattering equations (2014, methodology): “A concrete possibility is the combination of the work by Mafra, Schlotterer and Stieberger [36, 37], and Berkovits’ infinite tension limit model [20].”
Complete N-point superstring disk amplitude I. Pure spinor computation (2011, methodology): “2) M1234 = 1 s1234 ( T1234 s12s123 + T3214 s23s123 + T3241 s23s234 + T3421 s34s234 + 2T12[34] s12s34 )”
Color-kinematic duality for form factors (2012, methodology): “Color-dual numerators have been constructed explicitly at tree level for all multiplicities through a variety of methods [6–8], and at loop level in specific examples in N = 4 SYM for five points up to two loops [9] and for four points up to four loops [10].”
The classical double copy for Taub–NUT spacetime (2015, background): “This itself relies on a certain relationship (BCJ duality) being made manifest in the gauge theory, and is known to be true at tree-level [2,4–10], where it is equivalent to the KLT relations of [11].”