Dual Superconformal Invariance, Momentum Twistors and Grassmannians

Author: 

Mason, L
Skinner, D

Publication Date: 

November 2009

Journal: 

JHEP

Volume: 

0911

Last Updated: 

2017-11-11T01:16:03.79+00:00

DOI: 

10.1088/1126-6708/2009/11/045

Issue: 

11

page: 

045-

abstract: 

Dual superconformal invariance has recently emerged as a hidden symmetry of
planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can
be made manifest by expressing amplitudes in terms of `momentum twistors', as
opposed to the usual twistors that make the ordinary superconformal properties
manifest. The relation between momentum twistors and on-shell momenta is
algebraic, so the translation procedure does not rely on any choice of
space-time signature. We show that tree amplitudes and box coefficients are
succinctly generated by integration of holomorphic delta-functions in momentum
twistors over cycles in a Grassmannian. This is analogous to, although distinct
from, recent results obtained by Arkani-Hamed et al. in ordinary twistor space.
We also make contact with Hodges' polyhedral representation of NMHV amplitudes
in momentum twistor space.

Symplectic id: 

190399

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article