Scattering in ABJ theories

Details Scattering in ABJ theories Scattering in ABJ theories

2011-10-04

arxiv.org/abs/1110.0738v1

Physics

High Energy Physics

High Energy Physics - Theory

1+54 pages, 8 figures

Scientific paper

We study the correspondence between scattering amplitudes and Wilson loops in three-dimensional Chern-Simons matter theories. In particular, using N=2 superspace formalism, we compute at one loop the whole spectrum of four-point superamplitudes for generic N>=2 supersymmetric theories and find a vanishing result for N=6 ABJ(M) and N=8 BLG models. This restricts the possible range of theories for which Wilson loops/scattering amplitudes duality might work. At two loops, we present the computation of the four-point ABJ scattering amplitude for external chiral superfields. Extending the known result for the ABJM Wilson loop to the ABJ case we find perfect agreement. We also discuss the dual conformal invariance of our results and the relationship between the Feynman diagram computation and unitarity methods. While for the ABJM theory dual conformally invariant integrals exactly reproduce the amplitude, for the ABJ case this happens only up to a residual constant depending on the parity-violating parameter. Finally we propose a BDS-like exponentiation for the amplitude based on an analogy with the four-dimensional N=4 SYM case, and discuss its strong coupling dual counterpart.

Affiliated with

Also associated with

No associations

Rating

Scattering in ABJ theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scattering in ABJ theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering in ABJ theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269817