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Exacting N=4 Superconformal Symmetry

MPS-Authors
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Bargheer,  Till
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert,  Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Galleas,  Wellington
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Loebbert,  Florian
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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McLoughlin,  Tristan
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

0905.3738v1.pdf
(Preprint), 510KB

jhep112009056.pdf
(Publisher version), 560KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Bargheer, T., Beisert, N., Galleas, W., Loebbert, F., & McLoughlin, T. (2009). Exacting N=4 Superconformal Symmetry. Journal of High Energy Physics, 2009(11): 056. doi:10.1088/1126-6708/2009/11/056.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-461C-3
Abstract
Tree level scattering amplitudes in N=4 super Yang-Mills theory are almost, but not exactly invariant under the free action of the N=4 superconformal algebra. What causes the non-invariance is the holomorphic anomaly at poles where external particles become collinear. In this paper we propose a deformation of the free superconformal representation by contributions which change the number of external legs. This modified classical representation not only makes tree amplitudes fully invariant, but it also leads to additional constraints from symmetry alone mediating between hitherto unrelated amplitudes. Moreover, in a constructive approach it appears to fully constrain all tree amplitudes when combined with dual superconformal alias Yangian symmetry.