The Yangian origin of the Grassmannian integral

In this paper we analyse formulas which reproduce leading singularities of scattering amplitudes in 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 c...

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Bibliographic Details
Published in:The journal of high energy physics 2010-12, Vol.2010 (12), p.1-25, Article 10
Main Authors: Drummond, J. M., Ferro, L.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
High Energy Physics - Theory
Integrals
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Symmetry
Yang-Mills theory
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Summary:In this paper we analyse formulas which reproduce leading singularities of scattering amplitudes in 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.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP12(2010)010