Color-Kinematic Duality in ABJM Theory Without Amplitude Relations

Understand

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.