All tree-level MHV form factors in N = 4 SYM from twistor space

Abstract

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 [1]. 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.