Scattering Amplitudes/Wilson Loop Duality In ABJM Theory

For N = 6 superconformal Chern–Simons–matter theories in three dimen- sions, by a direct superspace Feynman diagram approach, we compute the two–loop four–point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two–loop result for a light–like four–polygon Wilson loop. This is a nontrivial evidence of the scattering amplitudes/Wilson loop duality in three dimensions. Moreover, both the IR divergent and the finite parts of our two–loop result agree with a BDS–like ansatz for all–loop amplitudes where the scaling function is given in terms of the N = 4 SYM one, according to the conjectured Bethe equations for ABJM. Consequently, we are able to make a prediction for the four–loop correction to the amplitude. We also discuss the dual conformal invariance of the two–loop result