Scattering Amplitudes/Wilson Loop Duality In ABJM Theory

Details Scattering Amplitudes/Wilson Loop Duality In ABJM Theory Scattering Amplitudes/Wilson Loop Duality In ABJM Theory

2011-07-15

arxiv.org/abs/1107.3139v2

Physics

High Energy Physics

High Energy Physics - Theory

1+16 pages, 2 figures, minor modifications and references added

Scientific paper

For N=6 superconformal Chern-Simons-matter theories in three dimensions, 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.

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