# Yangian-type symmetries of non-planar leading singularities

@article{Frassek2016YangiantypeSO, title={Yangian-type symmetries of non-planar leading singularities}, author={Rouven Frassek and David Meidinger}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-12} }

A bstractWe take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4$$ \mathcal{N}=4 $$ super Yang-Mills theory. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of the external states. Each subset corresponds to a single boundary of the non-planar on-shell diagram. While Yangian invariance is broken, we find that higher-level Yangian generators still annihilate the non-planar on-shell…

## 15 Citations

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Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special quantum field theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability…

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