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  Exact Superconformal and Yangian Symmetry of Scattering Amplitudes

Bargheer, T., Beisert, N., & Loebbert, F. (2011). Exact Superconformal and Yangian Symmetry of Scattering Amplitudes. Journal of Physics A: Mathematical and General, 44(45): 454012. doi:10.1088/1751-8113/44/45/454012.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-3202-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-3204-A
Genre: Journal Article

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1104.0700 (Preprint), 624KB
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 Creators:
Bargheer, Till1, Author              
Beisert, Niklas1, Author              
Loebbert, Florian1, Author              
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We review recent progress in the understanding of symmetries for scattering amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the superficial breaking of superconformal symmetry by collinear anomalies and the renormalization process can be cured at tree and loop level. This is achieved by correcting the representation of the superconformal group on amplitudes. Moreover, we comment on the Yangian symmetry of scattering amplitudes and how it inherits these correction terms from the ordinary Lie algebra symmetry. Invariants under this algebra and their relation to the Grassmannian generating function for scattering amplitudes are discussed. Finally, parallel developments in N=6 superconformal Chern-Simons theory are summarized. This article is an invited review for a special issue of Journal of Physics A devoted to Scattering Amplitudes in Gauge Theories.

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 Dates: 2011-04-042011-04-062011
 Publication Status: Published in print
 Pages: 28 Pages, 6 Figures. Invited review for a special issue of Journal of Physics A devoted to "Scattering Amplitudes in Gauge Theories"
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 Identifiers: arXiv: 1104.0700
DOI: 10.1088/1751-8113/44/45/454012
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Title: Journal of Physics A: Mathematical and General
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Pages: - Volume / Issue: 44 (45) Sequence Number: 454012 Start / End Page: - Identifier: -