U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM

Yin Jia; Rijun Huang; Chang-Yong Liu

doi:10.1103/PhysRevD.82.065001

U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM

High Energy Physics - Theory 2011-02-28 v4

Authors: Yin Jia , Rijun Huang , Chang-Yong Liu

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We proved the color reflection relation, U(1)-decoupling, Kleiss-Kuijf and Bern-Carrasco-Johansson relation for color-ordered $\mathcal{N}=4$ Super Yang-Mills theory using $\mathcal{N}=4$ SYM version BCFW recursion relation, which depends only on the general properties of super-amplitudes. This verified the conjectured matter fields BCJ relation. We also show that color reflection relation and U(1)-decoupling relation are special cases of KK relation, if we consider the KK relation as a general relation, then the former two relations come out naturally as the special cases.

Cite

@article{arxiv.1005.1821,
  title  = {U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM},
  author = {Yin Jia and Rijun Huang and Chang-Yong Liu},
  journal= {arXiv preprint arXiv:1005.1821},
  year   = {2011}
}

Comments

17 pages

Related papers

View all related →