Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
arXiv:1402.1821 · doi:10.1142/S0217751X17500026
Abstract
We explicitly show that the Bern-Carrasco-Johansson color-kinematic duality holds at tree level through at least eight points in Aharony-Bergman-Jafferis-Maldacena theory with gauge group SU(N) x SU(N). At six points we give the explicit form of numerators in terms of amplitudes, displaying the generalized gauge freedom that leads to amplitude relations. However, at eight points no amplitude relations follow from the duality, so the diagram numerators are fixed unique functions of partial amplitudes. We provide the explicit amplitude-numerator decomposition and the numerator relations for eight-point amplitudes.
21 pages, 5 figures, ancillary pdf and mathematica-friendly text file containing amplitude-numerator decomposition and numerator relations
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