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

Understand

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.