The super-correlator/super-amplitude duality: Part II

TL;DR

This paper provides further evidence for the duality between super-correlators and scattering super-amplitudes in planar N=4 SYM, demonstrating exact matches for specific amplitudes and proposing a general conjecture for all N^kMHV amplitudes.

Contribution

It extends the duality to higher-point and loop amplitudes, showing exact agreement and proposing a universal correlator-based description for all N^kMHV amplitudes.

Findings

Exact agreement for six-point one-loop NMHV amplitude's parity-odd sector

Correlator-based description matches BCFW recursion results

Conjecture that all N^kMHV amplitude integrands are described by stress-tensor multiplet correlators

Abstract

We continue the study of the duality between super-correlators and scattering super-amplitudes in planar N=4 SYM. We provide a number of further examples supporting the conjectured duality relation between these two seemingly different objects. We consider the five- and six-point one-loop NMHV and the six-point tree-level NNMHV amplitudes, obtaining them from the appropriate correlators of strength tensor multiplets in N=4 SYM. In particular, we find exact agreement between the rather non-trivial parity-odd sector of the integrand of the six-point one-loop NMHV amplitude, as obtained from the correlator or from BCFW recursion relations. Together these results lead to the conjecture that the integrands of any N^kMHV amplitude at any loop order in planar N=4 SYM can be described by the correlators of stress-tensor multiplets.