Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-22
JHEP 1103:116,2011
Physics
High Energy Physics
High Energy Physics - Theory
52 pages, 14 figures; v2. a section on loop amplitudes and references added; v3. minor improvements to conform with the publis
Scientific paper
10.1007/JHEP03(2011)116
We propose a recursion relation for tree-level scattering amplitudes in three-dimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher dimensions. Using background field methods, we show that all tree-level superamplitudes of the ABJM theory vanish for large deformations, establishing the validity of the recursion formula. Furthermore, we use the recursion relation to compute six-point and eight-point component amplitudes and match them with independent computations based on Feynman diagrams or the Grassmannian integral formula. As an application of the recursion relation, we prove that all tree-level amplitudes of the ABJM theory have dual superconformal symmetry. Using generalized unitarity methods, we extend this symmetry to the cut-constructible parts of the loop amplitudes.
Gang Dongmin
Huang Yu-tin
Koh Eunkyung
Lee Sangmin
Lipstein Arthur E.
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