Harmony of Super Form Factors

TL;DR

This paper advances the study of form factors in N=4 super Yang-Mills by extending amplitude techniques, deriving new solutions, and establishing dual MHV rules for a deeper understanding of supersymmetric operators.

Contribution

It introduces extended techniques for form factors, solves recursion relations for split-helicity cases, and generalizes dual MHV rules within supersymmetric frameworks.

Findings

Solution of recursion relations for split-helicity form factors

Compact formulas for maximally non-MHV form factors

Generalization of dual MHV rules to form factors

Abstract

In this paper we continue our systematic study of form factors of half-BPS operators in N=4 super Yang-Mills. In particular, we extend various techniques known for amplitudes to the case of form factors, including MHV rules, recursion relations, unitarity and dual MHV rules. As an application, we present the solution of the recursion relation for split-helicity form factors. We then consider form factors of the stress-tensor multiplet operator and of its chiral truncation, and write down supersymmetric Ward identities using chiral as well as non-chiral superspace formalisms. This allows us to obtain compact formulae for families of form factors, such as the maximally non-MHV case. Finally we generalise dual MHV rules in dual momentum space to form factors.