Bilocal phase operators in β-deformed super Yang-Mills

Mads Søgaard
Phys. Rev. D 86, 085016 – Published 8 October 2012

Abstract

We present tree-level scattering amplitudes in β-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 maximally helicity violating (MHV) and next-to-MHV 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 nonplanar multiloop unitarity cuts is established. Our derivations are also compatible with the related γ-deformation.

  • Figure
  • Received 22 February 2012

DOI:https://doi.org/10.1103/PhysRevD.86.085016

© 2012 American Physical Society

Authors & Affiliations

Mads Søgaard

  • Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

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Issue

Vol. 86, Iss. 8 — 15 October 2012

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