Abstract
In this paper we analyse formulas which reproduce leading singularities of scattering amplitudes in \( \mathcal{N} = 4 \) super Yang-Mills theory through a Grassmannian integral. Recently their Yangian invariance has been proved directly by using the explicit expression of the Yangian level-one generators. The specific cyclic structure of the form integrated over the Grassmannian enters in a crucial way in demonstrating the symmetry. Here we show that the Yangian symmetry fixes this structure uniquely.
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ArXiv ePrint:1002.4622
Laboratoire d’Annecy-le-Vieux de Physique Th´eorique, UMR 5108.
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Drummond, J.M., Ferro, L. The Yangian origin of the Grassmannian integral. J. High Energ. Phys. 2010, 10 (2010). https://doi.org/10.1007/JHEP12(2010)010
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DOI: https://doi.org/10.1007/JHEP12(2010)010