Yangians, Grassmannians and T-duality

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Article

Abstract

We investigate the Yangian symmetry of scattering amplitudes in \( \mathcal{N} = 4 \) super Yang-Mills theory and show that its formulations in twistor and momentum twistor space can be interchanged. In particular we show that the full symmetry can be thought of as the Yangian of the dual superconformal algebra, annihilating the amplitude with the MHV part factored out. The equivalence of this picture with the one where the ordinary superconformal symmetry is thought of as fundamental is an algebraic expression of Tduality. Motivated by this, we analyse some recently proposed formulas, which reproduce different contributions to amplitudes through a Grassmannian integral. We prove their Yangian invariance by directly applying the generators.

Keywords

Supersymmetric gauge theory Duality in Gauge Field Theories AdS-CFT Correspondence Integrable Field Theories 

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© 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.

Authors and Affiliations

  1. 1.LAPTHUniversité de Savoie, CNRSAnnecy-le-Vieux CedexFrance

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