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The Yangian origin of the Grassmannian integral

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arxiv 1002.4622 v2 pith:ARJHNP6G submitted 2010-02-25 hep-th

J.M.Drummond , L.Ferro This is my paper · ORCID
classification hep-th
keywords yangiangrassmannianintegralstructuresymmetryamplitudesanalysebeen
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In this paper we analyse formulas which reproduce different contributions to scattering amplitudes in 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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  1. An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.

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