# 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… Expand

#### 15 Citations

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Dual Conformal Structure Beyond the Planar Limit.

- Physics, Medicine
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It is shown that for an infinite class of nonplanar integrals that covers all subleading-color contributions to the two-loop four- and five-point amplitudes of N=4 super-Yang-Mills theory, symmetries analogous to dual conformal invariance exist. Expand

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We define recursion relations for N = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar N = 4 super-Yang-Mills. Although the recursion relations… Expand

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- 2017

The scattering amplitudes of planar N = 4 super-Yang-Mills theory (sYM) exhibit a number of remarkable analytic structures, including dual conformal symmetry, logarithmic singularities of integrands,… Expand

On-shell diagrams and the geometry of planar N<4$$ \mathcal{N}<4 $$ SYM theories

- Physics
- 2017

A bstractWe continue the discussion of the decorated on-shell diagrammatics for planar N<4$$ \mathcal{N}<4 $$ Supersymmetric Yang-Mills theories started in [1]. In particular, we focus on its… Expand

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- Physics, Mathematics
- Journal of High Energy Physics
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- Mathematics
- 2016

We begin the dissertation in Chapter 1 with a discussion of tree-level amplitudes in Yang-Mills theories. The DDM and BCJ decompositions of the amplitudes are described andrelated to one another by… Expand

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A bstractThe correspondence between on-shell diagrams in maximally supersymmetric Yang-Mills theory and cluster varieties in the Grassmannian remains largely unexplored beyond the planar limit. In… Expand

On-shell methods for off-shell quantities in N=4 Super Yang-Mills: from scattering amplitudes to form factors and the dilatation operator

- Physics
- 2016

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… Expand

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