English

Bilocal phase operators in beta-deformed super Yang-Mills

High Energy Physics - Theory 2015-03-19 v3

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.

Keywords

Cite

@article{arxiv.1112.1906,
  title  = {Bilocal phase operators in beta-deformed super Yang-Mills},
  author = {Mads Sogaard},
  journal= {arXiv preprint arXiv:1112.1906},
  year   = {2015}
}

Comments

26 pages, 1 figure; v3: typos corrected, journal version

R2 v1 2026-06-21T19:48:28.412Z