Abstract
We investigate Yangian invariance of deformed on-shell diagrams with D = 4, superconformal symmetry. We find that invariance implies a direct relationship between the deformation parameters and the permutation associated with the on-shell graph. We analyse the connection with deformations of scattering amplitudes in super-Yang–Mills theory and the possibility of using the deformation parameters as a regulator preserving Yangian invariance. A study of higher-point tree and loop graphs suggests that manifest Yangian invariance of the amplitude requires trivial deformation parameters.
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