Bilocal phase operators in beta-deformed super Yang-Mills

TY - JOUR

T1 - Bilocal phase operators in beta-deformed super Yang-Mills

AU - Søgaard, Mads

PY - 2012/10/8

Y1 - 2012/10/8

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.86.085016

DO - 10.1103/PhysRevD.86.085016

M3 - Journal article

SN - 2470-0010

VL - 86

SP - 085016

JO - Physical Review D

JF - Physical Review D

IS - 8

ER -