Scattering Amplitudes/Wilson Loop Duality In ABJM Theory release_crotrpohvndghp7fusav5p3f2u

by Marco S. Bianchi, Matias Leoni, Andrea Mauri, Silvia Penati and Alberto Santambrogio

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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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Type  article
Stage   accepted
Date   2011-10-05
Version   v2
Language   en ?
arXiv  1107.3139v2
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