Built on

Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, “One loop n point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, “Fusing gauge theory tree amplitudes into loop amplitudes,” Nucl. Phys
1995
Earlier work this paper cites.
A. Molev, M. Nazarov, and G. Olshansky, “Yangians and classical Lie algebras,” Russ. Math. Surveys
1996
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys
2004
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “Generalized unitarity and one-loop amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett
2005
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, “The Amplituhedron,” JHEP
Original
2007
Earlier work this paper cites.
J. M. Drummond, J. M. Henn, and J. Plefka, “Yangian symmetry of scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super Yang-Mills theory,” JHEP
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory,” Nucl. Phys
Original
2010
Earlier work this paper cites.

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S. Franco, D. Galloni, and A. Mariotti, “The Geometry of On-Shell Diagrams,” JHEP
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2014
Later among the works it cites.
R. Frassek, N. Kanning, Y. Ko, and M. Staudacher, “Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes,” Nucl. Phys
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Later among the works it cites.
D. Chicherin, S. Derkachov, and R. Kirschner, “Yang-Baxter operators and scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory,” Nucl. Phys
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Later among the works it cites.
Z. Bern, E. Herrmann, S. Litsey, J. Stankowicz, and J. Trnka, “Logarithmic Singularities and Maximally Supersymmetric Amplitudes,” JHEP
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2015
Later among the works it cites.
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2016

Yangian-type symmetries of non-planar leading singularities

Frassek, Rouven, Meidinger, David

Understand

We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in 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 diagram.

Built on

Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, “One loop n point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, “Fusing gauge theory tree amplitudes into loop amplitudes,” Nucl. Phys
1995
Earlier work this paper cites.
A. Molev, M. Nazarov, and G. Olshansky, “Yangians and classical Lie algebras,” Russ. Math. Surveys
1996
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys
2004
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “Generalized unitarity and one-loop amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett
2005
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, “The Amplituhedron,” JHEP
Original
2007
Earlier work this paper cites.
J. M. Drummond, J. M. Henn, and J. Plefka, “Yangian symmetry of scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super Yang-Mills theory,” JHEP
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in 𝒩 = 4 \mathcal{N}=4 super-Yang-Mills theory,” Nucl. Phys
Original
2010
Earlier work this paper cites.