A note on amplitudes in N=6 superconformal Chern-Simons theory

作者：Brandhuber Andreas^*; Travaglini Gabriele; Wen Congkao

来源：The Journal of High Energy Physics, 2012, (7): 160.

DOI：10.1007/JHEP07(2012)160

• Supersymmetric gauge theory
• Extended Supersymmetry
• Scattering Amplitudes
• Chern-Simons Theories

We establish a connection between tree-level superamplitudes in ABJM theory and leading singularities associated to special three-particle cuts of one-loop superamplitudes where one of the tree amplitudes entering the cut is a four-point amplitude. Using these relations, we show that certain intriguing similarities between one-loop and tree-level superamplitudes observed recently become completely manifest. This connection is reminiscent of a similar relation in the maximally supersymmetric gauge theory in four dimensions, where the sum of two-mass hard and one-mass box coefficients of a one-loop amplitude equals the corresponding tree-level amplitude. As an application, we present a very simple re-derivation of the six-point superamplitude and calculate the eight-point superamplitude at one loop in ABJM theory.

• 出版日期2012-7