Abstract
We present tree-level scattering amplitudes in -deformed super Yang-Mills theory in terms of new generating functions, derived by construction of a phase operator and application thereof to the superamplitudes. The technique is explicitly illustrated for the maximally helicity violating (MHV) and next-to-MHV sectors. Along these lines we propose a phase representation of the superconformal algebra realized on deformed amplitudes in the planar limit. Validity of the MHV vertex expansion is proven and a connection to nonplanar multiloop unitarity cuts is established. Our derivations are also compatible with the related -deformation.
- Received 22 February 2012
DOI:https://doi.org/10.1103/PhysRevD.86.085016
© 2012 American Physical Society