The Yangian origin of the Grassmannian integral

2010/02/28 by J. M. Drummond, L. Ferro, Livia Ferro · 100 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Geometry #Grassmannian #Gravitational singularity #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Scattering amplitude #Symmetry (geometry) #Yangian #hep-th

paper · pdf · doi:10.1007/jhep12(2010)010

published in Journal of High Energy Physics 2010(12) (Springer Nature) · 26 pages. v2: typos corrected, published version

openalex publication_date 2010/12/01 · arxiv created 2011/02/21 · arxiv updated 2011/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we analyse formulas which reproduce leading singularities of 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.

Citations

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