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arXiv · 1407.4449

Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory

Till Bargheer·Yu-tin Huang·Florian Loebbert·Masahito Yamazaki
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Abstract

We study Yangian-invariant deformations of scattering amplitudes in 4d N=4 supersymmetric Yang-Mills theory and 3d N=6 Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In particular, we obtain the deformed Grassmannian integral for 4d N=4 super Yang-Mills theory, both in momentum and momentum-twistor space. For 3d ABJM theory, we initiate the study of deformed scattering amplitudes. We investigate general deformations of on-shell diagrams, and find the deformed Grassmannian integral for this theory. We furthermore introduce the algebraic R-matrix construction of deformed Yangian invariants for ABJM theory.

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Till Bargheer, Yu-tin Huang, Florian Loebbert, Masahito Yamazaki. 2015-01-12. Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory. https://doi.org/10.1103/physrevd.91.026004

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