English

All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space

High Energy Physics - Theory 2016-07-01 v2 Mathematical Physics math.MP

Abstract

We incorporate all gauge-invariant local composite operators into the twistor-space formulation of N=4 SYM theory, detailing and expanding on ideas we presented recently in arXiv:1603.04471. The vertices for these operators contain infinitely many terms and we show how they can be constructed by taking suitable derivatives of a light-like Wilson loop in twistor space and shrinking it down to a point. In particular, these vertices directly yield the tree-level MHV super form factors of all composite operators in N=4 SYM theory.

Keywords

Cite

@article{arxiv.1604.00012,
  title  = {All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space},
  author = {Laura Koster and Vladimir Mitev and Matthias Staudacher and Matthias Wilhelm},
  journal= {arXiv preprint arXiv:1604.00012},
  year   = {2016}
}

Comments

16+13 pages, 8 figures; v2: some clarifications added, matches journal version

R2 v1 2026-06-22T13:22:43.727Z