Abstract

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.

Details

Title
The Yangian origin of the Grassmannian integral
Author
Drummond, J M 1 ; Ferro, L 1 

 Université de Savoie, CNRS, LAPTH, Annecy-le-Vieux Cedex, France (GRID:grid.4444.0) (ISNI:0000 0001 2112 9282) 
Publication year
2010
Publication date
Dec 2010
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2397987839
Copyright
© The Author(s) 2010. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. This work is published under https://creativecommons.org/licenses/by-nc/2.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.