Bilocal phase operators in beta-deformed super Yang-Mills
arXiv:1112.1906 · doi:10.1103/PhysRevD.86.085016
Abstract
We present tree-level scattering amplitudes in beta-deformed super Yang-Mills theory in terms of new generating functions, derived by construction of a phase operator and application thereof to the N = 4 superamplitudes. The technique is explicitly illustrated for the MHV and NMHV sectors. Along these lines we propose a phase representation of the N = 4 superconformal algebra realized on deformed amplitudes in the planar limit. Validity of the MHV vertex expansion is proven and a connection to non-planar multi-loop unitarity cuts is established. Our derivations are also compatible with the related gamma-deformation.
26 pages, 1 figure; v3: typos corrected, journal version
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