Scattering in Mass-Deformed N>=4 Chern-Simons Models

Understand

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes.

• Curiously the structure of this scattering matrix in three spacetime dimensions is equivalent to (a) the two-dimensional worldsheet matrix found in the context of AdS/CFT integrability and (b) the R-matrix of the one-dimensional Hubbard model.
• The underlying reason is that all three models are based on an extension of the psu(2|2) superalgebra which constrains the matrix completely.
• We also compute scattering amplitudes in one-loop field theory and find perfect agreement with scattering unitarity.