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

TL;DR

This paper develops a twistor-space formulation for all gauge-invariant local composite operators in N=4 SYM, enabling direct computation of all tree-level MHV super form factors.

Contribution

It introduces a method to construct vertices for all operators via derivatives of light-like Wilson loops in twistor space, expanding previous work.

Findings

Vertices contain infinitely many terms

Vertices derived from Wilson loops in twistor space

Enables calculation of all tree-level MHV super form factors

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.