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

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

2008-12-17

arxiv.org/abs/0812.3367v3

JHEP 0906:045,2009

Physics

High Energy Physics

High Energy Physics - Theory

63 pages, v2: minor corrections, v3: minor improvements

Scientific paper

10.1088/1126-6708/2009/06/045

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.

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